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arXiv · 1702.03630

Polytopes, dualities, and Floer homology

Daniel V. Mathews
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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.

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Daniel V. Mathews. 2017-02-13. Polytopes, dualities, and Floer homology. https://arxiv.org/abs/1702.03630

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