Geodesic
On some p–differential graded link homologies, II
Qi, You1 ; Sussan, Joshua2
1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
2 Department of Mathematics, CUNY Medgar Evers, Brooklyn, NY, United States, Mathematics Program, The Graduate Center, CUNY, New York, NY, United States
Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3357-3394

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

In a previous article, we constructed a link invariant categorifying the Jones polynomial at a 2p th root of unity, where p is an odd prime. This categorification utilized an N = 2 specialization of a differential introduced by Cautis in an 𝔰𝔩N–link homology theory. Here we give a family of link homologies where the Cautis differential is specialized to a positive integer of the form N = kp + 2. When k is even, all these link homologies categorify the Jones polynomial evaluated at a 2p th root of unity, but they are distinct link invariants.

DOI : 10.2140/agt.2023.23.3357
Keywords: categorification, hopfological algebra, link homology, Jones polynomial, prime root of unity

Qi, You 1 ; Sussan, Joshua 2

1 Department of Mathematics, University of Virginia, Charlottesville, VA, United States
2 Department of Mathematics, CUNY Medgar Evers, Brooklyn, NY, United States, Mathematics Program, The Graduate Center, CUNY, New York, NY, United States 
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Qi, You; Sussan, Joshua. On some p–differential graded link homologies, II. Algebraic and Geometric Topology, Tome 23 (2023) no. 7, pp. 3357-3394. doi: 10.2140/agt.2023.23.3357

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