21st Century COE Lecture

Boris Khesin

    Date : April 26 (Thu), 2007, 16:00-17:00
    Place : Room 115, RIMS
    Lecturer: Boris Khesin (University of Toronto)
    Title : Holomorphic linking numbers and the Chern-Simons functional
    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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Research Institute for Mathematical Sciences Department of Mathematics
Kyoto University

Last modified: March 27, 2007