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.
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EAN: 9781009183291
UPC: 9781009183291
ISBN: 9781009183291
MPN: N/A
Format: Paperback, 170 pages
Author: Caterina Campagnolo (Edited by)
Item Height: 1 cm
Item Length: 22.6 cm
Item Weight: 0.27 kg
Item Width: 15 cm
Language: Eng
Publication Name: N/A
Publisher: Cambridge University Press
Type: N/A