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arXiv · 1705.08431

Teichmüller theory and collapse of flat manifolds

Renato G. Bettiol·Andrzej Derdzinski·Paolo Piccione
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Abstract

We provide an algebraic description of the Teichmüller space and moduli space of flat metrics on a closed manifold or orbifold and study its boundary, which consists of (isometry classes of) flat orbifolds to which the original object may collapse. It is also shown that every closed flat orbifold can be obtained by collapsing closed flat manifolds, and the collapsed limits of closed flat 3-manifolds are classified.

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Renato G. Bettiol, Andrzej Derdzinski, Paolo Piccione. 2017-05-23. Teichmüller theory and collapse of flat manifolds. https://doi.org/10.1007/s10231-017-0723-7

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