Variations on a Theme of Borel

Variations on a Theme of Borel

Author: Shmuel Weinberger

Publisher: Cambridge University Press

ISBN: 9781107142596

Category: Mathematics

Page: 365

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Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.
Variations on a Theme of Borel
Language: en
Pages: 365
Authors: Shmuel Weinberger
Categories: Mathematics
Type: BOOK - Published: 2022-11-30 - Publisher: Cambridge University Press

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.
Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
Language: en
Pages: 197
Authors: Chris Wendl
Categories: Mathematics
Type: BOOK - Published: 2020-03-26 - Publisher: Cambridge University Press

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.
Attractors of Hamiltonian Nonlinear Partial Differential Equations
Language: en
Pages:
Authors: Alexander Komech, Elena Kopylova
Categories: Mathematics
Type: BOOK - Published: 2021-09-30 - Publisher: Cambridge University Press

This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many
Coarse Geometry of Topological Groups
Language: en
Pages:
Authors: Christian Rosendal
Categories: Mathematics
Type: BOOK - Published: 2021-11-30 - Publisher: Cambridge University Press

This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the
The Random Matrix Theory of the Classical Compact Groups
Language: en
Pages:
Authors: Elizabeth S. Meckes
Categories: Mathematics
Type: BOOK - Published: 2019-08-31 - Publisher: Cambridge University Press

This is the first book to provide a comprehensive overview of foundational results and recent progress in the study of random matrices from the classical compact groups, drawing on the subject's deep connections to geometry, analysis, algebra, physics, and statistics. The book sets a foundation with an introduction to the