Two Dimensional Homotopy And Combinatorial Group Theory
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Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Cynthia Hog-Angeloni
language : en
Publisher: Cambridge University Press
Release Date : 1993-12-09
Two Dimensional Homotopy And Combinatorial Group Theory written by Cynthia Hog-Angeloni and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-12-09 with Mathematics categories.
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.
Advances In Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Wolfgang Metzler
language : en
Publisher: Cambridge University Press
Release Date : 2018
Advances In Two Dimensional Homotopy And Combinatorial Group Theory written by Wolfgang Metzler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Cynthia Hog-Angeloni
language : en
Publisher:
Release Date : 2014-05-14
Two Dimensional Homotopy And Combinatorial Group Theory written by Cynthia Hog-Angeloni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.
This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.
Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Cynthia Hog-Angeloni
language : en
Publisher:
Release Date : 1994
Two Dimensional Homotopy And Combinatorial Group Theory written by Cynthia Hog-Angeloni and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Combinatorial group theory categories.
This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.
Stable Modules And The D 2 Problem
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Author : F. E. A. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-11
Stable Modules And The D 2 Problem written by F. E. A. Johnson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-09-11 with Mathematics categories.
This 2003 book is concerned with two fundamental problems in low-dimensional topology. Firstly, the D(2)-problem, which asks whether cohomology detects dimension, and secondly the realization problem, which asks whether every algebraic 2-complex is geometrically realizable. The author shows that for a large class of fundamental groups these problems are equivalent. Moreover, in the case of finite groups, Professor Johnson develops general methods and gives complete solutions in a number of cases. In particular, he presents a complete treatment of Yoneda extension theory from the viewpoint of derived objects and proves that for groups of period four, two-dimensional homotopy types are parametrized by isomorphism classes of projective modules. This book is carefully written with an eye on the wider context and as such is suitable for graduate students wanting to learn low-dimensional homotopy theory as well as established researchers in the field.
Symmetries And Integrability Of Difference Equations
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Author : Peter A. Clarkson
language : en
Publisher: Cambridge University Press
Release Date : 1999-02-04
Symmetries And Integrability Of Difference Equations written by Peter A. Clarkson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-02-04 with Mathematics categories.
This volume comprises state-of-the-art articles in discrete integrable systems.
The Q Schur Algebra
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Author : Stephen Donkin
language : en
Publisher: Cambridge University Press
Release Date : 1998-12-10
The Q Schur Algebra written by Stephen Donkin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-12-10 with Mathematics categories.
This book focuses on the representation theory of q-Schur algebras and connections with the representation theory of Hecke algebras and quantum general linear groups. The aim is to present, from a unified point of view, quantum analogs of certain results known already in the classical case. The approach is largely homological, based on Kempf's vanishing theorem for quantum groups and the quasi-hereditary structure of the q-Schur algebras. Beginning with an introductory chapter dealing with the relationship between the ordinary general linear groups and their quantum analogies, the text goes on to discuss the Schur Functor and the 0-Schur algebra. The next chapter considers Steinberg's tensor product and infinitesimal theory. Later sections of the book discuss tilting modules, the Ringel dual of the q-Schur algebra, Specht modules for Hecke algebras, and the global dimension of the q-Schur algebras. An appendix gives a self-contained account of the theory of quasi-hereditary algebras and their associated tilting modules. This volume will be primarily of interest to researchers in algebra and related topics in pure mathematics.
Trends In Stochastic Analysis
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Author : Jochen Blath
language : en
Publisher: Cambridge University Press
Release Date : 2009-04-09
Trends In Stochastic Analysis written by Jochen Blath and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-09 with Mathematics categories.
Presenting important trends in the field of stochastic analysis, this collection of thirteen articles provides an overview of recent developments and new results. Written by leading experts in the field, the articles cover a wide range of topics, ranging from an alternative set-up of rigorous probability to the sampling of conditioned diffusions. Applications in physics and biology are treated, with discussion of Feynman formulas, intermittency of Anderson models and genetic inference. A large number of the articles are topical surveys of probabilistic tools such as chaining techniques, and of research fields within stochastic analysis, including stochastic dynamics and multifractal analysis. Showcasing the diversity of research activities in the field, this book is essential reading for any student or researcher looking for a guide to modern trends in stochastic analysis and neighbouring fields.
Topics In Symbolic Dynamics And Applications
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Author : F. Blanchard
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-29
Topics In Symbolic Dynamics And Applications written by F. Blanchard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-29 with Mathematics categories.
This book is devoted to recent developments in symbolic dynamics, and it comprises eight chapters. The first two are concerned with the study of symbolic sequences of 'low complexity', the following two introduce 'high complexity' systems. The later chapters go on to deal with more specialised topics including ergodic theory, number theory, and one-dimensional dynamics.
Introduction To Subfactors
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Author : Vaughan F. R. Jones
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-15
Introduction To Subfactors written by Vaughan F. R. Jones and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-15 with Mathematics categories.
Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.