Winding homology of knotoids
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Publication:6335097
arXiv2002.07871MaRDI QIDQ6335097
Author name not available (Why is that?)
Publication date: 18 February 2020
Abstract: Knotoids were introduced by V. Turaev as open-ended knot-type diagrams that generalize knots. Turaev defined a two-variable polynomial invariant of knotoids which encompasses a generalization of the Jones knot polynomial to knotoids. We define a triply-graded homological invariant of knotoids categorifying the Turaev polynomial, called winding homology. Forgetting one of the three gradings gives a generalization of the Khovanov knot homology to knotoids.
Has companion code repository: https://github.com/denizkutluay/WindingHomology
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