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On some
$p$–differential graded link homologies, II
You Qi and Joshua Sussan |
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Algebraic & Geometric Topology 23 (2023) 3357–3394
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Abstract |
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In a previous article, we constructed a link invariant categorifying the Jones polynomial at a root of unity, where is an odd prime. This categorification utilized an specialization of a differential introduced by Cautis in an –link homology theory. Here we give a family of link homologies where the Cautis differential is specialized to a positive integer of the form . When is even, all these link homologies categorify the Jones polynomial evaluated at a root of unity, but they are distinct link invariants. |
Keywords
categorification, hopfological algebra, link homology,
Jones polynomial, prime root of unity
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Mathematical Subject Classification
Primary: 57K18
Secondary: 18G99
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References |
Publication
Received: 11 December 2021
Revised: 1 April 2022
Accepted: 21 April 2022
Published: 26 September 2023
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Authors |
| You Qi | |
| Department of Mathematics University of Virginia Charlottesville, VA United States |
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| Joshua Sussan | |
| Department of Mathematics CUNY Medgar Evers Brooklyn, NY United States |
Mathematics Program The Graduate Center, CUNY New York, NY United States |
| © 2023 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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