The spectrum of simplicial volume with fixed fundamental group

DOI10.1007/s10711-022-00749-9OpenAlexW4311949670MaRDI QIDQ2111096

Clara Löh

Publication date: 23 December 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.14877

zbMATH Keywords

bounded cohomologysimplicial volumerationality in (co)homology

Mathematics Subject Classification ID

Geometric group theory (20F65) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Algebraic topology of manifolds (57N65)

Cites Work

• Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces)
• Integer points in polyhedra
• Minimal entropy and geometric decompositions in dimension four
• Volume and bounded cohomology
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• Diophantine approximation
• Smooth Yamabe invariant and surgery
• Bounded cohomology of amenable covers via classifying spaces
• Simplicial volume of one-relator groups and stable commutator length
• The spectrum of simplicial volume
• The spectrum of simplicial volume of non-compact manifolds
• Lamplighters and the bounded cohomology of Thompson's group
• Isometric embeddings in bounded cohomology
• Continuous bounded cohomology of locally compact groups
• Straightening and bounded cohomology of hyperbolic groups
• Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups
• BOUNDED COHOMOLOGY AND BINATE GROUPS
• Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems
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