21st Century COE Lecture
Boris Khesin
Date : 
April 26 (Thu), 2007, 16:0017:00

Place : 
Room 115, RIMS

Lecturer: 
Boris Khesin (University of Toronto)

Title : 
Holomorphic linking numbers and the ChernSimons functional

Abstract: 
The Gauss linking number of two curves in the threespace has
a complex counterpart. In the talk we define the holomorphic linking
number for complex curves in complex threefolds. 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 gaugetheoretic aspects of the above correspondence, and, in
particular, its relation to the holomorphic ChernSimons theory.


