A perturbation of the geometric spectral sequence in Khovanov homology

Sucharit Sarkar, Cotton Seed, Zoltán Szabó

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We study the relationship between Bar-Natan’s perturbation in Khovanov homology and Szabó‘s geometric spectral sequence, and construct a link invariant that generalizes both into a common theory. We study a few properties of the new invariant, and introduce a family of s-invariants from the new theory in the same spirit as Rasmussen’s s-invariant.

Original languageEnglish (US)
Pages (from-to)571-628
Number of pages58
JournalQuantum Topology
Volume8
Issue number3
DOIs
StatePublished - Jan 1 2017

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Geometry and Topology

Keywords

  • Bar-natan spectral sequence
  • Geometric spectral sequence
  • Khovanov homology

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