Publication

The Restricted Siegel Disc as Coadjoint Orbit

Tudor Ratiu
2024

Abstract

The restricted Siegel disc is a homogeneous space related to the con- nected component To(1) of the universal Teichmller space via the period mapping. In this paper, we show that it is a coadjoint orbit of the universal central extension of the restricted symplectic group or, equivalently, an affine coadjoint orbit of the restricted symplectic group with cocycle given by the Schwinger term.

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The Restricted Siegel Disc as Coadjoint Orbit

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