Sutured annular Khovanov homology and two periodic braids
James Cornish

TL;DR
This paper establishes a spectral sequence relating the sutured annular Khovanov homology of a two-periodic braid's closure to that of its quotient, revealing structural links in knot invariants.
Contribution
It introduces a spectral sequence connecting the sutured annular Khovanov homologies of two related braids, advancing understanding of periodicity in knot invariants.
Findings
Spectral sequence from two-periodic braid to quotient braid's sutured annular Khovanov homology.
Identification of grading relationships in sutured annular Khovanov homology.
New insights into periodicity effects in knot homology theories.
Abstract
Let be a two-periodic braid and let be its quotient. In this paper we show there is a spectral sequence from the next-to-top winding number grading of the sutured annular Khovanov homology of the closure of to the next-to-top winding number grading of the sutured annular Khovanov homology of the closure of .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics
