Bounded Cohomology and Simplicial Volume

Herausgeber: Campagnolo, Caterina; Moraschini, Marco; Heuer, Nicolaus; Fournier-Facio, Francesco

• Broschiertes Buch

Produktbeschreibung

This monograph presents an overview of bounded cohomology, simplicial volume, and related topics, covering the basics of the subject and recent research directions. Aimed at graduate students entering the field, it includes precise definitions and many concrete examples while keeping an informal style and minimising prerequisites.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 170
• Erscheinungstermin: 26. Januar 2023
• Englisch
• Abmessung: 226mm x 150mm x 10mm
• Gewicht: 270g
• ISBN-13: 9781009183291
• ISBN-10: 100918329X
• Artikelnr.: 64659015

Inhaltsangabe

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.