Author : Mikhail Kapranov
Publisher : Springer Science & Business Media
Page : 759 pages
File Size : 36,96 MB
Release : 2008-03-05
Category : Mathematics
ISBN : 3764386088
Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.
Author : Tushar Das
Publisher : American Mathematical Soc.
Page : 321 pages
File Size : 46,30 MB
Release : 2017-04-14
Category : Mathematics
ISBN : 1470434652
This book presents the foundations of the theory of groups and semigroups acting isometrically on Gromov hyperbolic metric spaces. Particular emphasis is paid to the geometry of their limit sets and on behavior not found in the proper setting. The authors provide a number of examples of groups which exhibit a wide range of phenomena not to be found in the finite-dimensional theory. The book contains both introductory material to help beginners as well as new research results, and closes with a list of attractive unsolved problems.
Author : Robert J. Zimmer
Publisher : University of Chicago Press
Page : 659 pages
File Size : 43,15 MB
Release : 2011-04-15
Category : Mathematics
ISBN : 0226237893
The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50 years is the phenomenon of rigidity, whereby one can classify actions of certain groups. This book looks at rigidity.
Author : David Fisher
Publisher : University of Chicago Press
Page : 573 pages
File Size : 46,32 MB
Release : 2022-02-07
Category : Mathematics
ISBN : 022680402X
"Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by mathematician Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics. Margulis' ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. The broad goal of this volume is to introduce these areas, their development, their use in current research, and the connections between them. The foremost experts on the topic have written each of the chapters in this volume with a view to making them accessible by graduate students and by experts in other parts of mathematics"--
Author : M. Bachir Bekka
Publisher : Cambridge University Press
Page : 214 pages
File Size : 23,63 MB
Release : 2000-05-11
Category : Mathematics
ISBN : 9780521660303
This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Author : Danny Calegari
Publisher : Oxford University Press on Demand
Page : 378 pages
File Size : 40,89 MB
Release : 2007-05-17
Category : Mathematics
ISBN : 0198570082
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.
Author : Joseph H. Silverman
Publisher : American Mathematical Soc.
Page : 151 pages
File Size : 26,46 MB
Release :
Category : Mathematics
ISBN : 0821885030
Author : Joseph Albert Wolf
Publisher :
Page : 438 pages
File Size : 21,55 MB
Release : 1974
Category : Mathematics
ISBN :
Author : Y. Eliashberg
Publisher : American Mathematical Soc.
Page : 276 pages
File Size : 31,51 MB
Release : 1999
Category : Geometry
ISBN : 9780821820759
The 12 papers are from various meeting of the seminar, which has met regularly since 1989. They discuss the quantization of symplectic orbitfolds and group actions; Hamiltonian dynamical systems without period orbits; the stabilization of symplectic inequalities and applications; Engel deformations and contact structures; quantum products for mapping tori and the Atiya-Floer conjecture; the cohomology rings of Hamiltonian T-spaces; symmetric spaces, Kahler geometry, and Hamiltonian dynamics; the mirror formula for quintic threefolds; the virtual moduli cycle; Floer homology, Novikov rings, and complete intersections; surgery, quantum cohomology, and birational geometry; and group symplectic automorphisms. They are not indexed. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : Ana Cannas da Silva
Publisher : Springer
Page : 240 pages
File Size : 30,80 MB
Release : 2004-10-27
Category : Mathematics
ISBN : 354045330X
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
