Odd Khovanov homology

2007/10/23 by Peter Ozsvath, Jacob Rasmussen, Zoltan Szabo · 1 citation
Mathematics · #math.QA #math.GT #msc:57M25 #msc:57Q45

paper · pdf · doi:10.2140/agt.2013.13.1465

published as Algebr. Geom. Topol. 13 (2013) 1465-1488 · 16 pages, 12 figures

arxiv created 2007/10/23 · arxiv updated 2014/09/30

Abstract

We describe an invariant of links in the three-sphere which is closely related to Khovanov's Jones polynomial homology. Our construction replaces the symmetric algebra appearing in Khovanov's definition with an exterior algebra. The two invariants have the same reduction modulo 2, but differ over the rationals. There is a reduced version which is a link invariant whose graded Euler characteristic is the normalized Jones polynomial.

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