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Towards transverse toric geometry
[The 5th Korea Toric Topology Winter Workshop]
Date: 2019-01-22
Speaker : Hiroaki Ishida (Osaka City University)
Abstract : We say that an e ective action of a compact torus G on a connected smooth manifold M is maximal if there exists a point x 2 M such that dimG + dimGx = dimM. On the other hand, a compact connected complex manifold equipped with a compact torus action has a holomorphic foliation coming from the torus action. In this talk, we discuss a classi cation of compact connected complex manifolds with maximal torus actions up to transversely equivalence. If time permits, we also discuss the basic cohomology and basic Dolbeault cohomology of such manifolds. This talk is based on a joint work with Roman Krutovsky and Taras Panov.
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