PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Holomorphic linking numbers
Seminar:Department of Mathematics Colloquium
Speaker:Boris Khesin, University of Toronto
Abstract:
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
Date:10 / 22 / 2009
Time:04:00pm - 05:00pm