Knot homology groups from instantons
Name
Mrowka_Knot homology.pdf
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850.55 KB
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Checksum (MD5)
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Author(s)
Kronheimer, P. B.
Mrowka, Tomasz S.
Date Issued
December 2011
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1112/jtopol/jtr024
