Surface Operators and Knot Homologies

  title={Surface Operators and Knot Homologies},
  author={Sergei Gukov},
  • 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… 

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