Polytopes, dualities, and Floer homology
Symplectic Geometry
2017-02-14 v1 Combinatorics
Geometric Topology
Abstract
This article is an exposition of a body of existing results, together with an announcement of recent results. We discuss a theory of polytopes associated to bipartite graphs and trinities, developed by K\'alm\'an, Postnikov and others. This theory exhibits a variety of interesting duality and triality relations, and extends into knot theory, 3-manifold topology and Floer homology. In recent joint work with K\'alm\'an, we extend this story into contact topology and contact invariants in sutured Floer homology.
Keywords
Cite
@article{arxiv.1702.03630,
title = {Polytopes, dualities, and Floer homology},
author = {Daniel V. Mathews},
journal= {arXiv preprint arXiv:1702.03630},
year = {2017}
}
Comments
41 pages, 22 figures