Tait colorings, and an instanton homology for webs and foams
Name
jsharp-paper.pdf
Description
Accepted version
Size
901.82 KB
Format
Adobe PDF
Checksum (MD5)
041fb754df903492cc1b0c6e58f3a358
Author(s)
Kronheimer, Peter
Mrowka, Tomasz S
Date Issued
September 2018
Journal
Journal of the European Mathematical Society
Publisher
European Mathematical Society Publishing House
Citation
Kronheimer, Peter and Tomasz Mrowka. "Tait colorings, and an instanton homology for webs and foams." Journal of the European Mathematical Society 21, 1 (September 2018): 55-119 © 2019 European Mathematical Society
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4171/jems/831
