Book Description
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Author : Roberto Frigerio
Publisher : American Mathematical Society
Page : 166 pages
File Size : 23,24 MB
Release : 2023-03-09
Category : Mathematics
ISBN : 1470459914
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Author : Caterina Campagnolo
Publisher : Cambridge University Press
Page : 171 pages
File Size : 49,13 MB
Release : 2022-11-30
Category : Mathematics
ISBN : 100918329X
An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.
Author : Roberto Frigerio
Publisher : American Mathematical Soc.
Page : 213 pages
File Size : 21,18 MB
Release : 2017-11-21
Category : Mathematics
ISBN : 1470441462
The theory of bounded cohomology, introduced by Gromov in the late 1980s, has had powerful applications in geometric group theory and the geometry and topology of manifolds, and has been the topic of active research continuing to this day. This monograph provides a unified, self-contained introduction to the theory and its applications, making it accessible to a student who has completed a first course in algebraic topology and manifold theory. The book can be used as a source for research projects for master's students, as a thorough introduction to the field for graduate students, and as a valuable landmark text for researchers, providing both the details of the theory of bounded cohomology and links of the theory to other closely related areas. The first part of the book is devoted to settling the fundamental definitions of the theory, and to proving some of the (by now classical) results on low-dimensional bounded cohomology and on bounded cohomology of topological spaces. The second part describes applications of the theory to the study of the simplicial volume of manifolds, to the classification of circle actions, to the analysis of maximal representations of surface groups, and to the study of flat vector bundles with a particular emphasis on the possible use of bounded cohomology in relation with the Chern conjecture. Each chapter ends with a discussion of further reading that puts the presented results in a broader context.
Author : Francesco Fournier-Facio
Publisher : American Mathematical Society
Page : 116 pages
File Size : 19,82 MB
Release : 2024-08-19
Category : Mathematics
ISBN : 1470470918
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Author : Rafael von Känel
Publisher : American Mathematical Society
Page : 154 pages
File Size : 35,40 MB
Release : 2023-06-22
Category : Mathematics
ISBN : 1470464160
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Author : Philipp Grohs
Publisher : American Mathematical Society
Page : 106 pages
File Size : 28,27 MB
Release : 2023-04-07
Category : Mathematics
ISBN : 147045632X
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Author : Björn Sandstede
Publisher : American Mathematical Society
Page : 116 pages
File Size : 26,29 MB
Release : 2023-05-23
Category : Mathematics
ISBN : 1470463091
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Author : Sema Güntürkün
Publisher : American Mathematical Society
Page : 148 pages
File Size : 38,39 MB
Release : 2023-06-22
Category : Mathematics
ISBN : 1470465469
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Author : Yi Huang
Publisher : American Mathematical Society
Page : 128 pages
File Size : 31,60 MB
Release : 2023-06-22
Category : Mathematics
ISBN : 1470463121
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Author : Tudor S. Ratiu
Publisher : American Mathematical Society
Page : 102 pages
File Size : 23,81 MB
Release : 2023-07-31
Category : Mathematics
ISBN : 147046439X
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