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A deformation of instanton homology for webs

Peter B Kronheimer and Tomasz S Mrowka
Geometry & Topology 23 (2019) 1491–1547
DOI: 10.2140/gt.2019.23.1491
Abstract

A deformation of the authors’ instanton homology for webs is constructed by introducing a local system of coefficients. In the case that the web is planar, the rank of the deformed instanton homology is equal to the number of Tait colorings of the web.

Keywords
Floer homology, instanton, spatial graph, web, foam, Tait colorings
Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 05C15
References
Publication
Received: 8 December 2017
Revised: 20 March 2018
Accepted: 30 September 2018
Published: 28 May 2019
Proposed: Simon Donaldson
Seconded: András I Stipsicz, Ian Agol
Authors
Peter B Kronheimer
Department of Mathematics
Harvard University
Cambridge, MA
United States
Tomasz S Mrowka
Department of Mathematics
Massachusetts Institute of Technology
Cambridge, MA
United States