Bounded Cohomology and Simplicial Volume

Caterina Campagnolo · Francesco Fournier-Facio · Nicolaus Heuer · Marco Moraschini

2022年11月 · London Mathematical Society Lecture Note Series 第 479 冊 · Cambridge University Press

電子書

172

頁數

評分和評論未經驗證瞭解詳情

關於這本電子書

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.

關於作者

Caterina Campagnolo is a postdoctoral researcher now working at UAM Madrid.

Francesco Fournier-Facio is PhD student at ETH Zürich.

Nicolaus Heuer received his PhD from the University of Oxford.

Marco Moraschini is a type A fixed-termed Researcher at University of Bologna. He was previously a Postdoctoral Researcher at University of Regensburg.