Vogtmann, Karen 1949
Overview
Works:  7 works in 29 publications in 1 language and 182 library holdings 

Roles:  Editor, Translator, Author 
Classifications:  QA805, 531.01515 
Publication Timeline
.
Most widely held works by
Karen Vogtmann
Geometric group theory by
Mladen Bestvina(
Book
)
9 editions published between 2014 and 2015 in English and held by 140 WorldCat member libraries worldwide
Cover  Title page  Contents  Preface  Introduction  CAT(0) cube complexes and groups  Geometric small cancellation  Lectures on proper CAT(0) spaces and their isometry groups  Lectures on quasiisometric rigidity  Geometry of outer space  Some arithmetic groups that do not act on the circle  Lectures on lattices and locally symmetric spaces  Lectures on marked length spectrum rigidity  Expander graphs, property ( ) and approximate groups  Cube complexes, subgroups of mapping class groups, and nilpotent genus  Back Cover
9 editions published between 2014 and 2015 in English and held by 140 WorldCat member libraries worldwide
Cover  Title page  Contents  Preface  Introduction  CAT(0) cube complexes and groups  Geometric small cancellation  Lectures on proper CAT(0) spaces and their isometry groups  Lectures on quasiisometric rigidity  Geometry of outer space  Some arithmetic groups that do not act on the circle  Lectures on lattices and locally symmetric spaces  Lectures on marked length spectrum rigidity  Expander graphs, property ( ) and approximate groups  Cube complexes, subgroups of mapping class groups, and nilpotent genus  Back Cover
Mathematical methods of classical mechanics by
V. I Arnolʹd(
Book
)
14 editions published between 1978 and 2010 in English and held by 35 WorldCat member libraries worldwide
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance
14 editions published between 1978 and 2010 in English and held by 35 WorldCat member libraries worldwide
In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance
The boundary of outer space in rank two by
Marc Culler(
Book
)
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Geometry of the space of phylogenetic trees by
Louis J Billera(
Book
)
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide
Geometric group theory (American Mathematical Society) by
Mladen Bestvina(
)
in Undetermined and held by 1 WorldCat member library worldwide
in Undetermined and held by 1 WorldCat member library worldwide
Translation surfaces : saddle connections, triangles and covering constructions by Chenxi Wu(
)
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
This thesis focuses on 4 topics in the dynamics of translation surfaces. Firstly, we discusse the Deloné property of the set of the holonomy vectors of saddle connece tions on a translation surface. Next, we calculate the area of the smallest triangle and the area of the smallest virtual triangle for many classes of lattice surfaces. We describe all lattice surfaces for which the area of the smallest virtual triangle is greater than an explicit constant. Thirdly, many interesting examples of translation surfaces have been obtained through abelian covers of the pillowcase. We calculate the action of affine diffeomorphism group on the relative cohomology of an abelian cover of the pillowcase, extending the calculation of Alex Wright. Lastly, we determine which abelian covers of the flat pillowcase can be deformed into lattice surfaces. This gives a new context for understanding the BouwMoller construction
1 edition published in 2016 in English and held by 1 WorldCat member library worldwide
This thesis focuses on 4 topics in the dynamics of translation surfaces. Firstly, we discusse the Deloné property of the set of the holonomy vectors of saddle connece tions on a translation surface. Next, we calculate the area of the smallest triangle and the area of the smallest virtual triangle for many classes of lattice surfaces. We describe all lattice surfaces for which the area of the smallest virtual triangle is greater than an explicit constant. Thirdly, many interesting examples of translation surfaces have been obtained through abelian covers of the pillowcase. We calculate the action of affine diffeomorphism group on the relative cohomology of an abelian cover of the pillowcase, extending the calculation of Alex Wright. Lastly, we determine which abelian covers of the flat pillowcase can be deformed into lattice surfaces. This gives a new context for understanding the BouwMoller construction
The cohomology of automosphism groups of free groups by
Karen Vogtmann(
)
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
1 edition published in 2006 in English and held by 1 WorldCat member library worldwide
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Sageev, Michah 1966 Editor
 Bestvina, Mladen 1959 Author Editor
 Arnolʹd, Vladimir Igorevič Mathematician 1937 Author
 Weinstein, A. Translator
 Culler, Marc Author
 Holmes, Susan 1954
 Billera, Louis J. 1943 Author
 Riley, Tara Suzanne Holm
 Hubbard, John Hamal
 Wu, Chenxi Author
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Alternative Names
Karen Vogtmann Amerikaans wiskundige
Karen Vogtmann amerikansk matematikar
Karen Vogtmann amerikansk matematiker
Karen Vogtmann USamerikanische Mathematikerin
Vogtmann, K.
Vogtmann, Karen 1949
Карен Фогтман
קרן ווגטמן
کارن وقتمن
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