Patterns in odd Khovanov homology

Alexander N. Shumakovitch

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arXiv · 1101.5607

Patterns in odd Khovanov homology

Alexander N. Shumakovitch

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Abstract

We investigate properties of the odd Khovanov homology, compare and contrast them with those of the original (even) Khovanov homology, and discuss applications of the odd Khovanov homology to other areas of knot theory and low-dimensional topology. We show that it provides an effective upper bound on the Thurston-Bennequin number of Legendrian links and can be used to detect quasi-alternating knots. A potential application to detecting transversely non-simple knots is also mentioned.

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BibTeX RIS

Alexander N. Shumakovitch. 2011-01-28. Patterns in odd Khovanov homology. https://arxiv.org/abs/1101.5607

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