21st Century COE Lecture
Boris Khesin
| Date : |
April 26 (Thu), 2007, 16:00-17:00
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| Place : |
Room 115, RIMS
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| Lecturer: |
Boris Khesin (University of Toronto)
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| Title : |
Holomorphic linking numbers and the Chern-Simons functional
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| Abstract: |
The Gauss linking number of two curves in the three-space has
a complex counterpart. In the talk we define the holomorphic linking
number for complex curves in complex three-folds. Moreover, one can define
"polar homology" groups of complex projective manifolds by regarding
meromorphic forms on their submanifolds as a complex analogue of
orientation, and taking the residue as the boundary operator. We also
discuss gauge-theoretic aspects of the above correspondence, and, in
particular, its relation to the holomorphic Chern--Simons theory.
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