Tait colorings, and an instanton homology for webs and foams

We use SO(3) gauge theory to define a functor from a category of unoriented webs and foams to the category of finite-dimensional vector spaces over the field of two elements. We prove a non-vanishing theorem for this SO(3) instanton homology of webs, using Gabai’s sutured manifold theory. It is hope...

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Bibliographic Details
Main Authors: Kronheimer, Peter, Mrowka, Tomasz S
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: European Mathematical Society Publishing House 2020
Online Access:https://hdl.handle.net/1721.1/127673