Fiedler, Thomas
Overview
Works:  31 works in 55 publications in 3 languages and 678 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Redactor, Thesis advisor, 958, Other 
Classifications:  QA612.2, 514.224 
Publication Timeline
.
Most widely held works by
Thomas Fiedler
Gauss diagram invariants for knots and links by
Thomas Fiedler(
Book
)
6 editions published in 2001 in English and held by 142 WorldCat member libraries worldwide
"This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using know diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called Tinvariants, separate global knots of some classes and it is conjectured that they separate all global knots
6 editions published in 2001 in English and held by 142 WorldCat member libraries worldwide
"This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using know diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called Tinvariants, separate global knots of some classes and it is conjectured that they separate all global knots
Numerical and experimental investigation of hollow sphere structures in sandwich panels by
Thomas Fiedler(
Book
)
9 editions published in 2008 in English and held by 46 WorldCat member libraries worldwide
9 editions published in 2008 in English and held by 46 WorldCat member libraries worldwide
Umweltbewusstsein und Lebensqualität : eine empirische Zusammenhangsanalyse by
Thomas Fiedler(
Book
)
3 editions published between 2006 and 2007 in German and held by 22 WorldCat member libraries worldwide
3 editions published between 2006 and 2007 in German and held by 22 WorldCat member libraries worldwide
Erzgebirgische Volkskunst in der Zündholzschachtel : eine Seiffener Besonderheit(
Book
)
1 edition published in 1998 in German and held by 7 WorldCat member libraries worldwide
1 edition published in 1998 in German and held by 7 WorldCat member libraries worldwide
Umgang mit Sucht in Betrieben und Behörden : betriebliche Suchtprävention, Symptome und Hilfesysteme, Stellung des Betriebs/Personalrats by
Claudia EnglischGrothe(
Book
)
1 edition published in 2003 in German and held by 6 WorldCat member libraries worldwide
1 edition published in 2003 in German and held by 6 WorldCat member libraries worldwide
750 Jahre Burg Frankenstein : Festschrift zum Jubiläum(
Book
)
1 edition published in 2002 in German and held by 3 WorldCat member libraries worldwide
1 edition published in 2002 in German and held by 3 WorldCat member libraries worldwide
Schneewittchen by Peter Hoyer(
Recording
)
1 edition published in 2005 in German and held by 3 WorldCat member libraries worldwide
1 edition published in 2005 in German and held by 3 WorldCat member libraries worldwide
A simple state sum invariant for knots by
Thomas Fiedler(
Book
)
2 editions published in 1991 in German and English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in German and English and held by 2 WorldCat member libraries worldwide
Caractérisation topologique de tresses virtuelles by
Bruno Aarón Cisneros de la Cruz(
Book
)
2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide
The purpose of this thesis is to give a topological characterization of virtual braids. Virtual braids are equivalence classes of planar braidlike diagrams identified up to isotopy, Reidemeister and virtual Reidemeister moves. The set of virtual braids admits a group structure and is called the virtual braid group. In Chapter 1 we present a general introduction to the theory of virtual knots, and we discuss some properties of virtual braids and their relations with classical braids. In Chapter 2 we introduce braidGauss dia grams, and we prove that they are a good combinatorial reinterpretation of virtual braids. In particular this generalizes some results known in virtual knot theory. As an application, we use braidGauss diagrams to recover a well known presentation of the pure virtual braid group. In Chapter 3 we introduce abstract braids and we prove that they are in a bijective cor respondence with virtual braids. Abstract braids are equivalence classes of braidlike diagrams on an orientable surface with two boundary components. The equivalence relation is generated by isotopy, compatibility, stability and Reidemeister moves. Compatibility is the equivalence relation generated by orientation preserving diffeomorphisms. Stability is the equivalence relation generated by adding handles to or deleting handles from the surface in the complement of the braidlike diagram. In Chapter 4 we prove that for any abstract braid, there is a unique representative of minimal genus, up to compatibility and Reidemeister equivalence. In particular this implies that classical braids embed in abstract braids
2 editions published in 2015 in English and held by 2 WorldCat member libraries worldwide
The purpose of this thesis is to give a topological characterization of virtual braids. Virtual braids are equivalence classes of planar braidlike diagrams identified up to isotopy, Reidemeister and virtual Reidemeister moves. The set of virtual braids admits a group structure and is called the virtual braid group. In Chapter 1 we present a general introduction to the theory of virtual knots, and we discuss some properties of virtual braids and their relations with classical braids. In Chapter 2 we introduce braidGauss dia grams, and we prove that they are a good combinatorial reinterpretation of virtual braids. In particular this generalizes some results known in virtual knot theory. As an application, we use braidGauss diagrams to recover a well known presentation of the pure virtual braid group. In Chapter 3 we introduce abstract braids and we prove that they are in a bijective cor respondence with virtual braids. Abstract braids are equivalence classes of braidlike diagrams on an orientable surface with two boundary components. The equivalence relation is generated by isotopy, compatibility, stability and Reidemeister moves. Compatibility is the equivalence relation generated by orientation preserving diffeomorphisms. Stability is the equivalence relation generated by adding handles to or deleting handles from the surface in the complement of the braidlike diagram. In Chapter 4 we prove that for any abstract braid, there is a unique representative of minimal genus, up to compatibility and Reidemeister equivalence. In particular this implies that classical braids embed in abstract braids
Nouveaux aspects combinatoires de théorie des noeuds et des noeuds virtuels by
Arnaud Mortier(
Book
)
2 editions published between 2013 and 2014 in English and held by 2 WorldCat member libraries worldwide
A knot is an embedding of a circle into a 3dimensional manifold. When this manifold is the sphere, knots can be described combinatorially using Gauss diagrams. Forgetting about the actual knots, one can study Gauss diagrams independently: this is called virtual knot theory. In the first part we define a general version of virtual knots that depends on a group G endowed with a Z/2valued homomorphism w. When G and w are suitably chosen, this version generalizes knot theory in a given thickened surface  i.e. a 3manifold endowed with a line bundle projection onto a surface. Besides encoding knots, Gauss diagrams can also encode Vassiliev's finitetype knot invariants. A complete set of criteria is given to detect these invariants in the present framework. Notably, the criterion for Reidemeister III gives a positive answer to a conjecture of Polyak. Several examples are given, including an improvement of Grishanov and Vassiliev's theorem on planar chain invariants. The third part is a draft investigating a plan to find an algorithm that tells whether a knot in the solid torus is isotopic to a closed braid. The first step is achieved: it consists of a characterization of Gauss diagrams of closed braids. We state and investigate a conjecture which predicts that for diagrams with minimal number of crossings, this first step is enough. The last part is a joint work with T.Fiedler, investigating invariants of non generic loops in the space of all immersions of a circle into the 3space. This space is infinite dimensional, stratified by the degree of non genericity of an immersion. Vassiliev's theory was based on adding to the usual knots all strata with only ordinary double points as singularities. Here we forbid these double points and regard only some higher codimensional strata with a certain kind of triple points. We show that the resulting space is not simply connected, by exhibiting a non trivial 1cocycle. Weighting this cocycle gives a new formula for the Casson invariant, using triple unknottings
2 editions published between 2013 and 2014 in English and held by 2 WorldCat member libraries worldwide
A knot is an embedding of a circle into a 3dimensional manifold. When this manifold is the sphere, knots can be described combinatorially using Gauss diagrams. Forgetting about the actual knots, one can study Gauss diagrams independently: this is called virtual knot theory. In the first part we define a general version of virtual knots that depends on a group G endowed with a Z/2valued homomorphism w. When G and w are suitably chosen, this version generalizes knot theory in a given thickened surface  i.e. a 3manifold endowed with a line bundle projection onto a surface. Besides encoding knots, Gauss diagrams can also encode Vassiliev's finitetype knot invariants. A complete set of criteria is given to detect these invariants in the present framework. Notably, the criterion for Reidemeister III gives a positive answer to a conjecture of Polyak. Several examples are given, including an improvement of Grishanov and Vassiliev's theorem on planar chain invariants. The third part is a draft investigating a plan to find an algorithm that tells whether a knot in the solid torus is isotopic to a closed braid. The first step is achieved: it consists of a characterization of Gauss diagrams of closed braids. We state and investigate a conjecture which predicts that for diagrams with minimal number of crossings, this first step is enough. The last part is a joint work with T.Fiedler, investigating invariants of non generic loops in the space of all immersions of a circle into the 3space. This space is infinite dimensional, stratified by the degree of non genericity of an immersion. Vassiliev's theory was based on adding to the usual knots all strata with only ordinary double points as singularities. Here we forbid these double points and regard only some higher codimensional strata with a certain kind of triple points. We show that the resulting space is not simply connected, by exhibiting a non trivial 1cocycle. Weighting this cocycle gives a new formula for the Casson invariant, using triple unknottings
Gauss diagram invariants for knots and links by
Thomas Fiedler(
Book
)
3 editions published between 2010 and 2011 in English and held by 2 WorldCat member libraries worldwide
3 editions published between 2010 and 2011 in English and held by 2 WorldCat member libraries worldwide
Rudolph mit der roten Nase für kleine & große Leute ab ca. 4 Jahren ; das OriginalHörspiel zum großen Weihnachtsfilm(
Recording
)
1 edition published in 2005 in German and held by 2 WorldCat member libraries worldwide
1 edition published in 2005 in German and held by 2 WorldCat member libraries worldwide
Généralisation de l'homologie de HeegaardFloer aux entrelacs singuliers & raffinement de l'homologie de Khovanov aux entrelacs
restreints by
Benjamin Audoux(
Book
)
2 editions published between 2007 and 2008 in English and held by 2 WorldCat member libraries worldwide
La catégorification d'un invariant polynomial d'entrelacs I est un invariant de type homologique dont la caractéristique d'Euler gradue est égale à I. On pourra citer la catégorification originelle du polynôme de Jones par M. Khovanov ou celle du polynôme d'Alexander par P. Ozsvath et Z. Szabo. Outre leur capacité accrue à distinguer les noeuds, ces nouveaux invariants de type homologique semblent drainer beaucoup d'informations d'ordre géométrique. D'autre part, suite aux travaux de I. Vassiliev dans les années 90, un invariant polynomial d'entrelacs peut être étudié à l'aune de certaines propriétés, dites de type fini, de son extension naturelle aux entrelacs singuliers, c'estàdire aux entrelacs possédant un nombre fini de points doubles transverses. La première partie de cette thèse s'intéresse aux liens éventuels entre ces deux procédés, dans le cas particulier du polynôme d'Alexander. Dans cette optique, nous donnons d'abord une description des entrelacs singuliers par diagrammes en grilles. Nous l'utilisons ensuite pour généraliser l'homologie de Ozsvath et Szabo aux entrelacs singuliers. Outre la cohérence de sa définition, nous montrons que cet invariant devient acyclique sous certaines conditions annulant naturellement sa caractéristique d'Euler. Ce travail s'insère dans un programme plus vaste de catégorification des théories de Vassiliev. Dans une seconde partie, nous nous proposons de raffiner l'homologie de Khovanov aux entrelacs restreints. Ces derniers correspondent aux diagrammes d'entrelacs quotientés par un nombre restreint de mouvements de Reidemeister. Les tresses fermées apparaissent notamment comme sousensemble de ces entrelacs restreints. Un tel raffinement de l'homologie de Khovanov offre donc un nouvel outil pour une étude plus ciblée des noeuds et de leurs déformations
2 editions published between 2007 and 2008 in English and held by 2 WorldCat member libraries worldwide
La catégorification d'un invariant polynomial d'entrelacs I est un invariant de type homologique dont la caractéristique d'Euler gradue est égale à I. On pourra citer la catégorification originelle du polynôme de Jones par M. Khovanov ou celle du polynôme d'Alexander par P. Ozsvath et Z. Szabo. Outre leur capacité accrue à distinguer les noeuds, ces nouveaux invariants de type homologique semblent drainer beaucoup d'informations d'ordre géométrique. D'autre part, suite aux travaux de I. Vassiliev dans les années 90, un invariant polynomial d'entrelacs peut être étudié à l'aune de certaines propriétés, dites de type fini, de son extension naturelle aux entrelacs singuliers, c'estàdire aux entrelacs possédant un nombre fini de points doubles transverses. La première partie de cette thèse s'intéresse aux liens éventuels entre ces deux procédés, dans le cas particulier du polynôme d'Alexander. Dans cette optique, nous donnons d'abord une description des entrelacs singuliers par diagrammes en grilles. Nous l'utilisons ensuite pour généraliser l'homologie de Ozsvath et Szabo aux entrelacs singuliers. Outre la cohérence de sa définition, nous montrons que cet invariant devient acyclique sous certaines conditions annulant naturellement sa caractéristique d'Euler. Ce travail s'insère dans un programme plus vaste de catégorification des théories de Vassiliev. Dans une seconde partie, nous nous proposons de raffiner l'homologie de Khovanov aux entrelacs restreints. Ces derniers correspondent aux diagrammes d'entrelacs quotientés par un nombre restreint de mouvements de Reidemeister. Les tresses fermées apparaissent notamment comme sousensemble de ces entrelacs restreints. Un tel raffinement de l'homologie de Khovanov offre donc un nouvel outil pour une étude plus ciblée des noeuds et de leurs déformations
Probleme der Integration südostasiatischer Flüchtlinge : erste Erfahrungen mit dem Sprachunterricht by
Thomas Fiedler(
Book
)
1 edition published in 1979 in German and held by 1 WorldCat member library worldwide
1 edition published in 1979 in German and held by 1 WorldCat member library worldwide
Numerical and experimental analysis of cellular materials : this thesis is submitted for the degree of Doctor of Philosophy
(Mechanical Engineering) by Christoph Johannes Wilhelm Veyhl(
Book
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
SS1, EIN SYNTHESIZER FUR 5.0SURROUND by
Thomas Fiedler(
Book
)
2 editions published in 2011 in German and held by 1 WorldCat member library worldwide
2 editions published in 2011 in German and held by 1 WorldCat member library worldwide
A small state sum for knots by
Thomas Fiedler(
Book
)
2 editions published in 1992 in English and held by 1 WorldCat member library worldwide
2 editions published in 1992 in English and held by 1 WorldCat member library worldwide
Invariants d'isotopies pour surfaces différentiables dans des variétés de dimension 4 by
Cédric Darolles(
Book
)
1 edition published in 2002 in French and held by 1 WorldCat member library worldwide
1 edition published in 2002 in French and held by 1 WorldCat member library worldwide
Hydrology and Water Resources Symposium, Perth, 1012 September, 1979 : participants report by
Neal M Ashkanasy(
Book
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
Gauss Diagram Invariants for Knots and Links by
Thomas Fiedler(
)
2 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using knot diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called Tinvariants, separate global knots of some classes and it is conjectured that they separate all global knots. Tinvariants cannot be obtained from the (generalized) Kontsevich integral. Audience: The book is designed for research workers in lowdimensional topology
2 editions published in 2001 in English and held by 0 WorldCat member libraries worldwide
This book contains new numerical isotopy invariants for knots in the product of a surface (not necessarily orientable) with a line and for links in 3space. These invariants, called Gauss diagram invariants, are defined in a combinatorial way using knot diagrams. The natural notion of global knots is introduced. Global knots generalize closed braids. If the surface is not the disc or the sphere then there are Gauss diagram invariants which distinguish knots that cannot be distinguished by quantum invariants. There are specific Gauss diagram invariants of finite type for global knots. These invariants, called Tinvariants, separate global knots of some classes and it is conjectured that they separate all global knots. Tinvariants cannot be obtained from the (generalized) Kontsevich integral. Audience: The book is designed for research workers in lowdimensional topology
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