Mirror symmetry for parabolic Higgs bundles via p-adic integration

Shen, Shiyu

Mirror symmetry for parabolic Higgs bundles via p-adic integration

Shen S. 2024. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 443(5), 109616.

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DOI

10.1016/j.aim.2024.109616

Journal Article | Published | English

Scopus indexed

Author

Shen, Shiyu^ISTA

Corresponding author has ISTA affiliation

Department

Hausel Group

Grant

IST-BRIDGE: International postdoctoral program

Abstract

Applying the technique of p-adic integration, we prove the topological mirror symmetry conjecture of Hausel-Thaddeus for the moduli spaces of (strongly) parabolic Higgs bundles for the structure groups SLn and PGLn, building on previous work of Groechenig-Wyss-Ziegler on the non-parabolic case. We also prove the E-polynomial of the smooth moduli space of parabolic GLn-Higgs bundles is independent of the degree of the underlying vector bundles.

Publishing Year

2024

Date Published

2024-05-01

Journal Title

Advances in Mathematics

Publisher

Elsevier

Acknowledgement

Shiyu Shen has received funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 101034413.

Volume

443

Issue

Article Number

109616

ISSN

0001-8708

eISSN

1090-2082

IST-REx-ID

15248

Cite this

Shen S. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 2024;443(5). doi:10.1016/j.aim.2024.109616

Shen, S. (2024). Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2024.109616

Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” Advances in Mathematics. Elsevier, 2024. https://doi.org/10.1016/j.aim.2024.109616.

S. Shen, “Mirror symmetry for parabolic Higgs bundles via p-adic integration,” Advances in Mathematics, vol. 443, no. 5. Elsevier, 2024.

Shen S. 2024. Mirror symmetry for parabolic Higgs bundles via p-adic integration. Advances in Mathematics. 443(5), 109616.

Shen, Shiyu. “Mirror Symmetry for Parabolic Higgs Bundles via P-Adic Integration.” Advances in Mathematics, vol. 443, no. 5, 109616, Elsevier, 2024, doi:10.1016/j.aim.2024.109616.

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