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- Title
Tait colorings, and an instanton homology for webs and foams.
- Authors
Kronheimer, P. B.; Mrowka, T. S.
- Abstract
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 hoped that the non-vanishing theorem may support a program to provide a new proof of the four-color theorem.
- Subjects
HOMOLOGY theory; PROOF theory; WEBS (Differential geometry); MATHEMATICAL models; MATHEMATICAL analysis
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2019, Vol 21, Issue 1, p55
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/JEMS/831