Khovanov homology and periodic links

DOI10.1512/iumj.2021.70.8187zbMath1480.57012arXiv1704.07316OpenAlexW3133626184MaRDI QIDQ4994360

Wojciech Politarczyk, Marciej Borodzik

Publication date: 17 June 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07316

zbMATH Keywords

Khovanov homologyperiodic links

Mathematics Subject Classification ID

Knot theory (57K10) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18)

Related Items (5)

A new polynomial criterion for periodic knots ⋮ Quantum invariant congruence for periodic links ⋮ Equivariant Khovanov homology of periodic links ⋮ Khovanov homotopy type, periodic links and localizations ⋮ Extended periodic links and HOMFLYPT polynomial

Uses Software

• SnapPy
• GitHub
• knotkit

Cites Work

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• Khovanov homology and the symmetry group of a knot
• Khovanov homology and the slice genus
• Periodic knots and Heegaard Floer correction terms
• A recursive calculation of the Arf invariant of a link
• Hecke algebra representations of braid groups and link polynomials
• On Murasugi's and Traczyk's criteria for periodic links
• On the polynomials of periodic links
• Periodic knots and the skein polynomial
• A rank inequality for the annular Khovanov homology of 2-periodic links
• Equivariant Khovanov homology of periodic links
• Khovanov's homology for tangles and cobordisms
• Twisted Alexander polynomials of periodic knots
• An endomorphism of the Khovanov invariant
• Equivariant Jones polynomials of periodic links
• Reidemeister torsion in knot theory
• Torsion-Groups of Abelian Coverings of Links
• New invariants of periodic knots
• Link homology and Frobenius extensions

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