Geodesic
A sign assignment in totally twisted Khovanov homology
Manion, Andrew1
1Department of Mathematics, Princeton University, Princeton, NJ 08544, USA
Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 753-767
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We lift the characteristic-2 totally twisted Khovanov homology of Roberts and Jaeger to a theory with ℤ coefficients. The result is a complex computing reduced odd Khovanov homology for knots. This complex is equivalent to a spanning-tree complex whose differential is explicit modulo a sign ambiguity coming from the need to choose a sign assignment in the definition of odd Khovanov homology.

DOI : 10.2140/agt.2014.14.753
Classification : 57M25, 57M27
Keywords: odd Khovanov homology

Manion, Andrew  1

1 Department of Mathematics, Princeton University, Princeton, NJ 08544, USA 
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Manion, Andrew. A sign assignment in totally twisted Khovanov homology. Algebraic and Geometric Topology, Tome 14 (2014) no. 2, pp. 753-767. doi: 10.2140/agt.2014.14.753

[1] J A Baldwin, On the spectral sequence from Khovanov homology to Heegaard Floer homology, Int. Math. Res. Not. 2011 (2011) 3426

[2] T C Jaeger, A remark on Roberts' totally twisted Khovanov homology, J. Knot Theory Ramifications 22 (2013) 1350022, 16

[3] P S Ozsváth, J Rasmussen, Z Szabó, Odd Khovanov homology, Algebr. Geom. Topol. 13 (2013) 1465

[4] L Roberts, Totally twisted Khovanov homology

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