Fiedler, Thomas
Overview
Works:  45 works in 68 publications in 3 languages and 326 library holdings 

Genres:  Conference proceedings 
Roles:  Author, Thesis advisor, Redactor, 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
)
8 editions published between 2001 and 2011 in English and held by 167 WorldCat member libraries worldwide
Tinvariants cannot be obtained from the (generalized) Kontsevich integral." "Audience: The book is designed for research workers in low dimensional topology."Jacket
8 editions published between 2001 and 2011 in English and held by 167 WorldCat member libraries worldwide
Tinvariants cannot be obtained from the (generalized) Kontsevich integral." "Audience: The book is designed for research workers in low dimensional topology."Jacket
Numerical and experimental investigation of hollow sphere structures in sandwich panels
by
Thomas Fiedler(
Book
)
6 editions published in 2008 in English and held by 56 WorldCat member libraries worldwide
6 editions published in 2008 in English and held by 56 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 20 WorldCat member libraries worldwide
3 editions published between 2006 and 2007 in German and held by 20 WorldCat member libraries worldwide
Über die Wirksamkeit der Munddusche "Fluidenta" mit dem medikamentösen Zusatz "GMLS 43/78"
by
Thomas Fiedler(
)
4 editions published in 1979 in German and held by 19 WorldCat member libraries worldwide
4 editions published in 1979 in German and held by 19 WorldCat member libraries worldwide
The jPREdictor and its application to motif discovery, motif clustering and the prediction of Polycomb, Trithorax response elements
by
Thomas Fiedler(
)
1 edition published in 2008 in English and held by 14 WorldCat member libraries worldwide
1 edition published in 2008 in English and held by 14 WorldCat member libraries worldwide
Erzgebirgische Volkskunst in der Zündholzschachtel : eine Seiffener Besonderheit
(
Book
)
1 edition published in 1998 in German and held by 6 WorldCat member libraries worldwide
1 edition published in 1998 in German and held by 6 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 4 WorldCat member libraries worldwide
1 edition published in 2003 in German and held by 4 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
Triple points of unknotting disks and the Arf invariant of 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
Généralisation de l'homologie de HeegaardFloer aux entrelacs singuliers & raffinement de l'homologie de Khovanov aux entrelacs restreints
by
Benjamin Audoux(
)
2 editions published between 2007 and 2008 in English and held by 2 WorldCat member libraries worldwide
A categorification of a polynomial link invariant is an homological invariant which contains the polynomial one as its graded Euler characteristic. This field has been initiated by Khovanov categorification of the Jones polynomial. Later, P. Ozsvath and Z. Szabo gave a categorification of Alexander polynomial. Besides their increased abilities for distinguishing knots, this new invariants seem to carry many geometrical informations. On the other hand, Vassiliev works gives another way to study link invariant, by generalizing them to singular links i.e. links with a finite number of rigid transverse double points. The first part of this thesis deals with a possible relation between these two approaches in the case of the Alexander polynomial. To this purpose, we extend grid presentation for links to singular links. Then we use it to generalize Ozsvath and Szabo invariant to singular links. Besides the consistency of its definition, we prove that this invariant is acyclic under some conditions which naturally make its Euler characteristic vanish. This work can be considered as a first step toward a categorification of Vassiliev theory. In a second part, we give a refinement of Khovanov homology to restricted links
2 editions published between 2007 and 2008 in English and held by 2 WorldCat member libraries worldwide
A categorification of a polynomial link invariant is an homological invariant which contains the polynomial one as its graded Euler characteristic. This field has been initiated by Khovanov categorification of the Jones polynomial. Later, P. Ozsvath and Z. Szabo gave a categorification of Alexander polynomial. Besides their increased abilities for distinguishing knots, this new invariants seem to carry many geometrical informations. On the other hand, Vassiliev works gives another way to study link invariant, by generalizing them to singular links i.e. links with a finite number of rigid transverse double points. The first part of this thesis deals with a possible relation between these two approaches in the case of the Alexander polynomial. To this purpose, we extend grid presentation for links to singular links. Then we use it to generalize Ozsvath and Szabo invariant to singular links. Besides the consistency of its definition, we prove that this invariant is acyclic under some conditions which naturally make its Euler characteristic vanish. This work can be considered as a first step toward a categorification of Vassiliev theory. In a second part, we give a refinement of Khovanov homology to restricted links
Real algebraic curves and Morse theory preliminary report
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
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
Computational modelling of metallic hollow sphere structures subjected to dynamic loading conditions
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)
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
1 edition published in 2009 in English and held by 1 WorldCat member library worldwide
Geradenbüschel und die Topologie der reellen algebraischen Kurven
by
Thomas Fiedler(
Book
)
1 edition published in 1982 in German and held by 1 WorldCat member library worldwide
1 edition published in 1982 in German 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
Behaviour of syntactic and partial hollow sphere structures under dynamic loading
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)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
The paper investigates the macroscopic behaviour of adhesively bonded metallic hollow sphere structures fully and partially embedded within an adhesive matrix subjected to compressive dynamic loading by means of computational simulations. Different influences e.g. morphology, topology, sphere wall thickness and strain rate sensitivity have been analyzed
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
The paper investigates the macroscopic behaviour of adhesively bonded metallic hollow sphere structures fully and partially embedded within an adhesive matrix subjected to compressive dynamic loading by means of computational simulations. Different influences e.g. morphology, topology, sphere wall thickness and strain rate sensitivity have been analyzed
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
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
Beziehungen von kardialer autonomer Neuropathie, zirkadianer Blutdruckrhythmik und Urinalbuminexkretion bei Typ2Diabetikern
by
Thomas Fiedler(
Book
)
1 edition published in 2005 in German and held by 1 WorldCat member library worldwide
1 edition published in 2005 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
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Australia Cell aggregationMathematics Environmental protectionSocial aspects Environmental responsibility Flood control Gaussian sums Geometry Germany Honeycomb structures Hydrology Knot theory Link theory Mathematics Porous materials Quality of life Sandwich construction Water resources development