Teichmüller spaces and Torelli theorems for hyperkähler manifolds

Eduard Looijenga

doi:10.1007/s00209-020-02594-6

Teichmüller spaces and Torelli theorems for hyperkähler manifolds

Eduard Looijenga^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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

Original language	English
Pages (from-to)	261-279
Number of pages	19
Journal	Mathematische Zeitschrift
Volume	298
Issue number	1-2
Early online date	20 Aug 2020
DOIs	https://doi.org/10.1007/s00209-020-02594-6
Publication status	Published - Jun 2021

Bibliographical note

Funding Information:
Supported by the Chinese National Science Foundation.

Publisher Copyright:
© 2020, The Author(s).

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10.1007/s00209-020-02594-6Licence: CC BY

Looijenga2021_Article_TeichmüllerSpacesAndTorelliTheFinal published version, 388 KBLicence: CC BY

Cite this

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abstract = "Kreck and Yang Su recently gave counterexamples to a version of the Torelli theorem for hyperk{\"a}hlerian manifolds as stated by Verbitsky. We extract the correct statement and give a short proof of it. We also revisit a few of its consequences, some of which are given new (shorter) proofs, and ask some questions.",

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AB - Kreck and Yang Su recently gave counterexamples to a version of the Torelli theorem for hyperkählerian manifolds as stated by Verbitsky. We extract the correct statement and give a short proof of it. We also revisit a few of its consequences, some of which are given new (shorter) proofs, and ask some questions.

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Teichmüller spaces and Torelli theorems for hyperkähler manifolds

Abstract

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