Dehn quandles of groups and orientable surfaces

DOI10.4064/fm271-6-2023arXiv2106.00290OpenAlexW3171849280MaRDI QIDQ6146731

No author found.

Publication date: 31 January 2024

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.00290

zbMATH Keywords

Coxeter groupmapping class groupsurface groupArtin grouplink grouporderable groupDehn quandle

Mathematics Subject Classification ID

2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Knot theory (57K10) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Curve complexes are rigid
• The quandle of the trefoil knot as the Dehn quandle of the torus
• Acyclic groups of automorphisms
• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• The braid-permutation group
• Zero-divisors and idempotents in quandle rings
• The adjoint group of a Coxeter quandle
• Automorphism groups of quandles and related groups
• On relations and homology of the Dehn quandle
• Yang-Baxter deformations of quandles and racks
• On quandle homology groups of Alexander quandles of prime order
• Surface-Knots in 4-Space
• Embeddings of quandles into groups
• DISTRIBUTIVE GROUPOIDS IN KNOT THEORY
• LOOPS AND DISKS IN SURFACES AND HANDLEBODIES
• Quandles and Monodromy
• Quandles and Topological Pairs
• Presentation and central extensions of mapping class groups
• On core quandles of groups
• Orderability of link quandles
• FINITE PRESENTATIONS OF CENTRALLY EXTENDED MAPPING CLASS GROUPS
• Extending the Dehn quandle to shears and foliations on the torus
• Links and cycles in Dehn quandle homology I: Torus links
• Braid Groups
• Reflexion spaces and homogeneous symmetric spaces
• An algebraic condition to determine whether a knot is prime
• Presentations for the punctured mapping class groups in terms of Artin groups
• Presentations of Dehn quandles

This page was built for publication: Dehn quandles of groups and orientable surfaces