# Surface Operators and Knot Homologies

@inproceedings{Gukov2007SurfaceOA,
title={Surface Operators and Knot Homologies},
author={Sergei Gukov},
year={2007}
}
• S. Gukov
• Published 18 June 2007
• Mathematics
Topological gauge theories in four dimensions which admit surface operators provide a natural framework for realizing homological knot invariants. Every such theory leads to an action of the braid group on branes on the corresponding moduli space. This action plays a key role in the construction of homological knot invariants. We illustrate the general construction with examples based on surface operators in N = 2 and N = 4 twisted gauge theories which lead to a categorification of the…
10 Citations

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