vix.ing · top · new · best · stats · spec

Khovanov homology for links in thickened multipunctured disks

2021/06/07 by Zachary Winkeler, Winkeler, Zachary
Mathematics · Computer Science · #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2106.03834

Abstract

We define a variant of Khovanov homology for links in thickened disks with multiple punctures. This theory is distinct from the one previously defined by Asaeda, Przytycki, and Sikora, but is related to it by a spectral sequence. Additionally, we show that there are spectral sequences induced by embeddings of thickened surfaces, which recover the spectral sequence from annular Khovanov homology to Khovanov homology as a special case.

Related