Knot homology groups from instantons
Author(s)Kronheimer, P. B.; Mrowka, Tomasz S.
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For each partial flag manifold of SU(N), we define a Floer homology theory for knots in 3-manifolds, using instantons with codimension-2 singularities. In the case of SU(2), the resulting Floer homology group for classical knots appears to be related to Khovanov homology.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Journal of Topology
Oxford University Press - London Mathematical Society
Kronheimer, P. B., and T. S. Mrowka. “Knot Homology Groups from Instantons.” Journal of Topology 4, no. 4 (November 29, 2011): 835–918.