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August 2022 Torelli Locus and Rigidity
Sai-Kee Yeung
Michigan Math. J. 72: 643-654 (August 2022). DOI: 10.1307/mmj/20217207

Abstract

The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The first is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on the rigidity of representation of a lattice of a semisimple Lie group in a mapping class group.

Dedication

Dedicated to Professor Gopal Prasad on the occasion of his 75th birthday

Citation

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Sai-Kee Yeung. "Torelli Locus and Rigidity." Michigan Math. J. 72 643 - 654, August 2022. https://doi.org/10.1307/mmj/20217207

Information

Received: 26 February 2021; Revised: 1 August 2021; Published: August 2022
First available in Project Euclid: 2 August 2022

Digital Object Identifier: 10.1307/mmj/20217207

Subjects:
Primary: 14H15 , 14K10 , 53C24 , 53C43

Rights: Copyright © 2022 The University of Michigan

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Vol.72 • August 2022
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