Knot homology groups from instantons

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.

Bibliographic Details
Main Authors: Kronheimer, P. B. (Author), Mrowka, Tomasz S. (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Oxford University Press - London Mathematical Society, 2015-01-22T21:49:35Z.
Subjects:
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