Rational approximation for Hitchin representations

Audibert, Jacques; Zshornack,  Michael

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Rational approximation for Hitchin representations

Audibert, J., & Zshornack, M. (in press). Rational approximation for Hitchin representations. Groups, Geometry and Dynamics, To appear.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-C34A-2 Version Permalink: https://hdl.handle.net/21.11116/0000-0010-B627-5

Genre: Journal Article

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2310.15121v1.pdf (Preprint), 147KB

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https://doi.org/10.48550/arXiv.2310.15121 (Preprint) Open Access Green

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Creators:
Audibert, Jacques¹, Author
Zshornack, Michael, Author

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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201

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Abstract: We show that for S a closed surface of genus at least 3, the set of Hitchin representations of π1(S) with image in SL(n,Q) is dense in the Hitchin component. When n=2, we recover a particular case of a result of Takeuchi but using a completely different method.

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Language(s): eng - English

Dates: Accepted: 2025

Publication Status: Accepted / In Press

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Rev. Type: No review

Identifiers: arXiv: 2310.15121

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Title: Groups, Geometry and Dynamics

Source Genre: Journal

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Publ. Info: EMS Press

Pages: - Volume / Issue: - Sequence Number: To appear Start / End Page: - Identifier: -