Asymptotic Faithfulness of Quantum Sp(4) Mapping Class Group Representations

Wade Bloomquist

doi:10.48550/arxiv.1801.01268

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Asymptotic Faithfulness of Quantum Sp(4) Mapping Class Group Representations

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Asymptotic Faithfulness of Quantum Sp(4) Mapping Class Group Representations

Wade Bloomquist

ArXiv.org

Cornell University

01/04/2018

DOI: 10.48550/arxiv.1801.01268

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We prove asymptotic faithfulness for the quantum Sp(4) mapping class group representation. This provides the first example of asymptotic faithfulness lying outside of the An family. The methods used are generalized from the proof of asymptotic faithfulness for skein SU (2)k mapping class group representations. In short, for any noncentral mapping class a comparison vector is found which allows for the mapping class to be detected

Mathematics - Geometric Topology

Mathematics - Quantum Algebra

Details

Title: Subtitle: Asymptotic Faithfulness of Quantum Sp(4) Mapping Class Group Representations
Creators: Wade Bloomquist
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.1801.01268
ISSN: 2331-8422
Publisher: Cornell University; Ithaca, NY
Language: English
Date posted: 01/04/2018
Academic Unit: Mathematics
Record Identifier: 9984936605102771

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