Knot homology groups from instantons

Author(s)
Kronheimer, P. B.; Mrowka, Tomasz S.
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Abstract
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.
Date issued
2011-12
URI
http://hdl.handle.net/1721.1/93165
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
Journal of Topology
Publisher
Oxford University Press - London Mathematical Society
Citation
Kronheimer, P. B., and T. S. Mrowka. “Knot Homology Groups from Instantons.” Journal of Topology 4, no. 4 (November 29, 2011): 835–918.
Version: Original manuscript
ISSN
1753-8416
1753-8424
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