Bounded Cohomology and Simplicial Volume

ISBN-13: 9781009183291 / Angielski / Miękka / 2023 / 180 str.

Opis

An overview of bounded cohomology and simplicial volume covering the basics of the subject and recent research directions.

Spis treści

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.