Quotients of the holomorphic 2-ball and the turnover

2021/09/17 by Botós, Hugo C., Grossi, Carlos H.
#51M10 #57M50 #57R18 (Secondary) #57S30 (Primary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2109.08753

Abstract

We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivial and cotangent disc bundles over closed Riemann surfaces.

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