A correspondence between complexes and knots
Geometric Topology
2012-11-13 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.1211.2553,
title = {A correspondence between complexes and knots},
author = {Moshe Cohen},
journal= {arXiv preprint arXiv:1211.2553},
year = {2012}
}
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/