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Seminário Simplético (IMPA - PUC - UFF - UFRJ)

Stable bundles on foliated manifolds
Pedram Hekmati

University of Auckland
Terça-feira, 19 de março de 2019, 14:30
Auditorio 1

It is well-known that the existence of canonical metrics in complex geometry corresponds to a stability condition. I will present a version of this correspondence for transverse holomorphic bundles on compact manifolds with a Hermitian foliation. As it turns out, the natural notion of stability requires that the foliation is taut. I will discuss the relation to higher dimensional instantons on Sasakian manifolds and mention other applications. If time permits, I will also indicate how the result extends to the moduli space of transverse Higgs bundles.