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A deformation of instanton homology for webs

Peter B Kronheimer and Tomasz S Mrowka

Geometry & Topology 23 (2019) 1491–1547

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.

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Floer homology, instanton, spatial graph, web, foam, Tait colorings
Mathematical Subject Classification 2010
Primary: 57R58
Secondary: 05C15
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
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