On the geometry and bounded cohomology of racks and quandles

DOI10.1142/S0218216524500202MaRDI QIDQ6590034

Jarek Kȩdra

Publication date: 21 August 2024

Published in: Journal of Knot Theory and its Ramifications (Search for Journal in Brave)

zbMATH Keywords

quandleamenable groupbounded cohomologyrackbi-invariant metricquasi-morphism

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Means on groups, semigroups, etc.; amenable groups (43A07) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Title not available (Why is that?)
• Bounding reflection length in an affine Coxeter group.
• Quandle homology and complex volume
• Volume and bounded cohomology
• A classifying invariant of knots, the knot quandle
• On rack cohomology.
• ON BI-INVARIANT WORD METRICS
• Embeddings of quandles into groups
• Conjugation-invariant norms on groups of geometric origin
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• The Second Bounded Cohomology of a Group Acting on a Gromov-Hyperbolic Space
• Quandle cohomology is a Quillen cohomology
• QUANDLES ASSOCIATED TO GALOIS COVERS OF ARITHMETIC SCHEMES
• Uniform simplicity of groups with proximal action
• Computing reflection length in an affine Coxeter group
• Twisted quandle homology theory and cocycle knot invariants
• Strong and uniform boundedness of groups

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