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Filtrations on instanton homology

2011/10/06 by P. B. Kronheimer, Kronheimer, P. B., T. S. Mrowka +1 · 1 citation
Mathematics · #57M27 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:57M27

paper · pdf · doi:10.48550/arxiv.1110.1290

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

arxiv created 2012/10/18 · arxiv updated 2012/10/19

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.

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