Bounded cohomology and simplicial volume
Author(s)
Bibliographic Information
Bounded cohomology and simplicial volume
(London Mathematical Society lecture note series, 479)
Cambridge University Press, 2023
- : pbk
Available at 30 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
: pbkS||LMS||479200043610405
Note
Other editors: Francesco Fournier-Facio, Nicolaus Heuer, Marco Moraschini
Includes bibliographical references (p. 132-140) and index
Description and Table of Contents
Description
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.
Table of Contents
- Introduction Caterina Campagnolo, Francesco Fournier-Facio, Nicolaus Heuer, Marco Moraschini
- Part I. Simplicial Volume: 1. Gromov's mapping theorem via multicomplexes Marco Moraschini
- 2. The proportionality principle via hyperbolic geometry Filippo Sarti
- 3. Positivity of simplicial volume via barycentric techniques Shi Wang
- 4. Gromov's systolic inequality via smoothing Lizhi Chen
- Integral foliated simplicial volume Caterina Campagnolo
- 6. l2-Betti numbers Holger Kammeyer
- Part II. Bounded Cohomology: 7. Stable commutator length Nicolaus Heuer
- 8. Quasimorphisms on negatively curved groups Biao Ma
- 9. Extension of quasicocycles from hyperbolically embedded subgroups Francesco Fournier-Facio
- 10. Lie groups and Symmetric spaces Anton Hase
- 11. Continuous bounded cohomology, representations and multiplicative constants Alessio Savini
- 12. The proportionality principle via bounded Filippo Baroni
- References
- Index.
by "Nielsen BookData"