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arXiv · 1912.02550

Teichmüller spaces and Torelli theorems for hyperkähler manifolds

Eduard Looijenga
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Abstract

Kreck and Yang Su recently gave counterexamples to a version of the Torelli theorem for hyperkählerian manifolds as stated by Verbitsky. The initial purpose of this document (which was prepared for a seminar talk) was to extract the correct statement and to give a short proof of it. We also revisit a few of its consequences, some of which are given new (shorter) proofs.

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Eduard Looijenga. 2020-07-20. Teichmüller spaces and Torelli theorems for hyperkähler manifolds. https://arxiv.org/abs/1912.02550

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