Filtrations on instanton homology

Abstract

In earlier work of the authors, the Khovanov complex of a knot or link appeared as the first page in a spectral sequence abutting to the instanton homology. The quantum and (co)homological gradings on Khovanov homology do not survive as gradings, but we show that they survive as filtrations.

40 pages, 4 figures. Revised version, with corrected typos and extended introduction

Cited by in corpus (2)

• Learning knot invariants across dimensions
• Abelian Gauge Theory, Knots and Odd Khovanov Homology