Geodesic
Odd Khovanov homology
Ozsváth, Peter S1 ; Rasmussen, Jacob2 ; Szabó, Zoltán3
1Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
2Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, UK
3Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544, USA
Algebraic and Geometric Topology, Tome 13 (2013) no. 3, pp. 1465-1488
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We describe an invariant of links in S3 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 ℚ. There is a reduced version which is a link invariant whose graded Euler characteristic is the normalized Jones polynomial.

DOI : 10.2140/agt.2013.13.1465
Classification : 57M25, 57R58
Keywords: Khovanov, homology, link, knot

Ozsváth, Peter S  1   ; Rasmussen, Jacob  2   ; Szabó, Zoltán  3

1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
2 Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB3 0WB, UK
3 Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544, USA 
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Ozsváth, Peter S; Rasmussen, Jacob; Szabó, Zoltán. Odd Khovanov homology. Algebraic and Geometric Topology, Tome 13 (2013) no. 3, pp. 1465-1488. doi: 10.2140/agt.2013.13.1465

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