Odd Khovanov homology

Details Odd Khovanov homology Odd Khovanov homology

2007-10-23

arxiv.org/abs/0710.4300v1

Mathematics

Quantum Algebra

16 pages, 12 figures

Scientific paper

We describe an invariant of links in the three-sphere 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 the rationals. There is a reduced version which is a link invariant whose graded Euler characteristic is the normalized Jones polynomial.

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