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2020 Homology of ternary algebras yielding invariants of knots and knotted surfaces
Maciej Niebrzydowski
Algebr. Geom. Topol. 20(5): 2337-2372 (2020). DOI: 10.2140/agt.2020.20.2337

Abstract

We define homology of ternary algebras satisfying axioms derived from particle scattering or, equivalently, from the third Reidemeister move. We show that ternary quasigroups satisfying these axioms appear naturally in invariants of Reidemeister, Yoshikawa, and Roseman moves. Our homology has a degenerate subcomplex. The normalized homology yields invariants of knots and knotted surfaces.

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Maciej Niebrzydowski. "Homology of ternary algebras yielding invariants of knots and knotted surfaces." Algebr. Geom. Topol. 20 (5) 2337 - 2372, 2020. https://doi.org/10.2140/agt.2020.20.2337

Information

Received: 19 July 2017; Revised: 5 June 2019; Accepted: 3 October 2019; Published: 2020
First available in Project Euclid: 10 November 2020

MathSciNet: MR4171568
Digital Object Identifier: 10.2140/agt.2020.20.2337

Subjects:
Primary: 57M27
Secondary: 55N35, 57Q45

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.20 • No. 5 • 2020
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