arXiv:1211.2553 Abstract | arXiv Analytics

arXiv:1211.2553 [math.GT]Abstract References Reviews Resources

A correspondence between complexes and knots

Published 2012-11-12Version 1

In recent work the author investigates perfect matchings of a bipartite graph obtained from a knot diagram and demonstrates that these correspond to discrete Morse functions on a 2-complex for the 2-sphere. This relationship is expounded below for the opposite audience: those who may be unfamiliar with knots.

Comments: Developed during a summer school on "Discrete Morse Theory and Commutative Algebra" from July 18th through August 1st, 2012 at the Institut Mittag-Leffler (the Royal Swedish Academy of Sciences) organized by Bruno Benedetti and Alexander Engstr\"{o}m. http://www.mittag-leffler.se/summer2012/summerschools/

Categories: math.GT, math.CO

Subjects: 57M20, 57M25, 57R70, 05C70

Keywords: correspondence, discrete morse functions, perfect matchings, bipartite graph, knot diagram

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