Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners Andsplitting Of J Invariants Ii
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Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners Andsplitting Of J Invariants Ii
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Author : Gorm Salomonsen
language : en
Publisher:
Release Date : 1999
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners Andsplitting Of J Invariants Ii written by Gorm Salomonsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners And Splitting Of J Invariants
DOWNLOAD
Author : Gorm Salomonsen
language : en
Publisher:
Release Date : 1999
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners And Splitting Of J Invariants written by Gorm Salomonsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners And Splitting Of E Eta Invariants
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Author : Gorm Salomonsen
language : en
Publisher:
Release Date : 1999
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners And Splitting Of E Eta Invariants written by Gorm Salomonsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners And Splitting Of Eta Invariants Ii
DOWNLOAD
Author : Gorm Salomonsen
language : en
Publisher:
Release Date : 1999
Atiyah Patodi Singer Type Index Theorems For Manifolds With Corners And Splitting Of Eta Invariants Ii written by Gorm Salomonsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
The Topological Classification Of Stratified Spaces
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Author : Shmuel Weinberger
language : en
Publisher: University of Chicago Press
Release Date : 1994
The Topological Classification Of Stratified Spaces written by Shmuel Weinberger and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results. Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological category is most completely developed using the methods of "controlled topology." Many examples illustrating the topological invariance and noninvariance of obstructions and characteristic classes are provided. Applications for embeddings and immersions of manifolds, for the geometry of group actions, for algebraic varieties, and for rigidity theorems are found in Part III. This volume will be of interest to topologists, as well as mathematicians in other fields such as differential geometry, operator theory, and algebraic geometry.
Bogmarkedet
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Author :
language : da
Publisher:
Release Date : 1999
Bogmarkedet written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Book industries and trade categories.
2019 20 Matrix Annals
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Author : Jan de Gier
language : en
Publisher: Springer Nature
Release Date : 2021-02-10
2019 20 Matrix Annals written by Jan de Gier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-10 with Mathematics categories.
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
Simplicial Objects In Algebraic Topology
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Author : J. P. May
language : en
Publisher: University of Chicago Press
Release Date : 1992
Simplicial Objects In Algebraic Topology written by J. P. May and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Simplicial sets are discrete analogs of topological spaces. They have played a central role in algebraic topology ever since their introduction in the late 1940s, and they also play an important role in other areas such as geometric topology and algebraic geometry. On a formal level, the homotopy theory of simplicial sets is equivalent to the homotopy theory of topological spaces. In view of this equivalence, one can apply discrete, algebraic techniques to perform basic topological constructions. These techniques are particularly appropriate in the theory of localization and completion of topological spaces, which was developed in the early 1970s. Since it was first published in 1967, Simplicial Objects in Algebraic Topology has been the standard reference for the theory of simplicial sets and their relationship to the homotopy theory of topological spaces. J. Peter May gives a lucid account of the basic homotopy theory of simplicial sets, together with the equivalence of homotopy theories alluded to above. The central theme is the simplicial approach to the theory of fibrations and bundles, and especially the algebraization of fibration and bundle theory in terms of "twisted Cartesian products." The Serre spectral sequence is described in terms of this algebraization. Other topics treated in detail include Eilenberg-MacLane complexes, Postnikov systems, simplicial groups, classifying complexes, simplicial Abelian groups, and acyclic models. "Simplicial Objects in Algebraic Topology presents much of the elementary material of algebraic topology from the semi-simplicial viewpoint. It should prove very valuable to anyone wishing to learn semi-simplicial topology. [May] has included detailed proofs, and he has succeeded very well in the task of organizing a large body of previously scattered material."—Mathematical Review
Arnold S Problems
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Author : Vladimir I. Arnold
language : en
Publisher: Springer
Release Date : 2004-11-15
Arnold S Problems written by Vladimir I. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-15 with Mathematics categories.
Vladimir Arnold is one of the most outstanding mathematicians of our time Many of these problems are at the front line of current research
Tensor Categories
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Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-05
Tensor Categories written by Pavel Etingof and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-05 with Mathematics categories.
Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.