Chain homotopy maps and a universal differential for Khovanov-type homology

Details Chain homotopy maps and a universal differential for Khovanov-type homology Chain homotopy maps and a universal differential for Khovanov-type homology

2009-07-13

arxiv.org/abs/0907.2104v2

Mathematics

Geometric Topology

10 pages, second version: Revised calculations mainly concerned with outside Reidemeister moves

Scientific paper

We give chain homotopy maps of Khovanov-type link homology of a universal
differential. The universal differential, discussed by Mikhail Khovanov, Marco
Mackaay, Paul Turner and Pedro Vaz, contains the original Khovanov's
differential and Lee's differential. We also consider the conditions of any
differential ensuring the Reidemeister invariance for the chain homotopy maps.

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