#### Volume 14, issue 2 (2014)

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A sign assignment in totally twisted Khovanov homology

### Andrew Manion

Algebraic & Geometric Topology 14 (2014) 753–767
##### Abstract

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.

##### Keywords
odd Khovanov homology
Primary: 57M25
Secondary: 57M27