A sign assignment in totally twisted Khovanov homology

作者:Manion Andrew*
来源:Algebraic and Geometric Topology, 2014, 14(2): 753-767.
DOI:10.2140/agt.2014.14.753

摘要

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.

  • 出版日期2014