For more information about this meeting, contact Sergei Tabachnikov.
| Title: | Holomorphic linking numbers |
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| Seminar: | Department of Mathematics Colloquium |
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| Speaker: | Boris Khesin, University of Toronto |
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| Abstract: |
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| The Gauss linking number of two curves in 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. |
Room Reservation Information
| Room Number: | MB114 |
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| Date: | 10 / 22 / 2009 |
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| Time: | 04:00pm - 05:00pm |
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