Median quasimorphisms on CAT(0) cube complexes and their cup products

DOI10.1007/s10711-023-00870-3arXiv2209.05811OpenAlexW4390126655MaRDI QIDQ6183144

Benjamin Brück, Unnamed Author, Clara Löh

Publication date: 26 January 2024

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

Full work available at URL: https://arxiv.org/abs/2209.05811

zbMATH Keywords

cup productbounded cohomologyquasimorphismsCAT(0) cube complexesRAAGs

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67) Groups acting on trees (20E08) Other (co)homology theories (category-theoretic aspects) (18G90)

Cites Work

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• Induced quasicocycles on groups with hyperbolically embedded subgroups.
• Property \(A\) and \(\text{CAT}(0)\) cube complexes.
• scl.
• Volume and bounded cohomology
• Sur un groupe remarquable de difféomorphismes du cercle. (On a remarkable group of the diffeomorphisms of the circle)
• The first cohomology of a group with permutation module coefficients
• Bounded cohomology of group constructions
• The second bounded cohomology of word-hyperbolic groups
• Bounded cohomology and topologically tame Kleinian groups
• Continuous bounded cohomology and applications to rigidity theory
• Left exactness of the functor \(H_b^n(-,\mathbb{R})\) of real bounded cohomology
• Guido's book of conjectures. A gift to Guido Mislin on the occasion of his retirement from ETHZ, June 2006. With a foreword by Gwynith Mislin and an epilogue by Guido Mislin
• The cup product of Brooks quasimorphisms
• Bounded cohomology of subgroups of mapping class groups
• Characterising actions on trees yielding non-trivial quasimorphisms
• Bounded cohomology of amenable covers via classifying spaces
• Trivial cup products in bounded cohomology of the free group via aligned chains
• Amenable category and complexity
• Effective quasimorphisms on right-angled Artin groups
• A note on bounded-cohomological dimension of discrete groups
• Relations between counting functions on free groups and free monoids
• Orbit equivalence rigidity and bounded cohomology
• Cocycle superrigidity and bounded cohomology for negatively curved spaces
• An introduction to right-angled Artin groups.
• The median class and superrigidity of actions on CAT(0) cube complexes
• Function Theory on Symplectic Manifolds
• Bounded Cohomology of Certain Groups of Homeomorphisms
• Twist number of (closed) braids
• Extending higher-dimensional quasi-cocycles
• The Second Bounded Cohomology of a Group Acting on a Gromov-Hyperbolic Space
• Bounded Cohomology of Discrete Groups
• The second bounded cohomology of an amalgamated free product of groups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Cup product in bounded cohomology of the free group
• The Bounded Cohomology of SL$_{\textbf{2}}$ Over Local Fields and $\boldsymbol{S}$-Integers
• Cup product in bounded cohomology of negatively curved manifolds
• Continuous bounded cohomology of locally compact groups
• Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups
• BOUNDED COHOMOLOGY AND BINATE GROUPS
• Bounded cohomology of classifying spaces for families of subgroups