December 2023 Two Homologies for Handlebody-knots
Hiroshi MATSUDA
Tokyo J. Math. 46(2): 465-490 (December 2023). DOI: 10.3836/tjm/1502179402

Abstract

Ng constructed differential graded algebras for knots in ${\mathbb{R}}^3$, and extended the definitions to other knotted objects. Modifying his definitions, we construct differential graded algebras for handlebody-knots in ${\mathbb{R}}^3$. We calculate 0-dimensional homology for handlebody-knots up to 6 crossings.

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Hiroshi MATSUDA. "Two Homologies for Handlebody-knots." Tokyo J. Math. 46 (2) 465 - 490, December 2023. https://doi.org/10.3836/tjm/1502179402

Information

Published: December 2023
First available in Project Euclid: 18 January 2024

Digital Object Identifier: 10.3836/tjm/1502179402

Subjects:
Primary: 57K45

Rights: Copyright © 2023 Publication Committee for the Tokyo Journal of Mathematics

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Vol.46 • No. 2 • December 2023
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