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4:00 pm Wednesday, January 15, 2014 Stulken Geometry Analysis Seminar: A singular Bott-Chern formula and gauge theoryby Richard Wentworth (University of Maryland) in HB227- Abstract: I will present a formula relating the second Chern character of a hermitian holomorphic vector bundle to that of the associated graded sheaf with respect to a filtration by reflexive subsheaves. This generalizes the classical Bott-Chern formula when the subsheaves are holomorphic subbundles. The proof relies on a monotonicity formula and the gauge fixing theorems of Uhlenbeck.
Submitted by mwolf@rice.edu |