Generators, relations, and homology for Ozsv 'ath-Szab 'o's\n Kauffman-states algebras

2019/03/13 by A. Manion, Manion, Andrew, Marco Marengon +3
Mathematics · #16E45 #57M27 #57R56 (secondary) #57R58 (primary) #Algebraic structures and combinatorial models #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.1903.05654

openalex publication_date 2019/03/13 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

We give a generators-and-relations description of differential graded\nalgebras recently introduced by Ozsv 'ath and Szab 'o for the computation of\nknot Floer homology. We also compute the homology of these algebras and\ndetermine when they are formal.\n

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