Knot groups, quandle extensions and orderability

DOI10.1007/s10711-023-00876-xarXiv2307.08605OpenAlexW4390367741MaRDI QIDQ6183145

Mohamed Elhamdadi, Idrissa Ba

Publication date: 26 January 2024

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

Full work available at URL: https://arxiv.org/abs/2307.08605

zbMATH Keywords

orderabilityquandlesknot groupscircular orderability

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Special aspects of infinite or finite groups (20F99) Ordered groups (06F15) Knot theory (57K10) General topology of 3-manifolds (57K30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Taut foliations, left-orderability, and cyclic branched covers
• Cohomology of categorical self-distributivity
• A classifying invariant of knots, the knot quandle
• From racks to pointed Hopf algebras
• Ring theoretic aspects of quandles
• Orderable 3-manifold groups.
• Holomorphic disks and genus bounds
• Surfaces in 4-space
• The space of circular orderings and semiconjugacy
• Zero-divisors and idempotents in quandle rings
• Left-orderability and cyclic branched coverings
• On L-spaces and left-orderable fundamental groups
• Cohomology of the adjoint of Hopf algebras.
• Cocycle knot invariants from quandle modules and generalized quandle homology
• Foundations of topological racks and quandles
• Testing Bi-orderability of Knot Groups
• Ordered groups, eigenvalues, knots, surgery and L-spaces
• COMPACTNESS OF THE SPACE OF LEFT ORDERS
• COHOMOLOGY OF FROBENIUS ALGEBRAS AND THE YANG-BAXTER EQUATION
• On orderability of fibred knot groups
• Homology theory for the set-theoretic Yang–Baxter equation and knot invariants from generalizations of quandles
• Finitely stable racks and rack representations
• Orderability of link quandles
• Quandle rings
• A Survey of Heegaard Floer Homology
• Distributivity in Quandles and Quasigroups
• An algebraic condition to determine whether a knot is prime
• Idempotents, free products and quandle coverings
• Enhancements of link colorings via idempotents of quandle rings

This page was built for publication: Knot groups, quandle extensions and orderability