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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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.
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Date Published
2024-05-01
Journal Title
Advances in Mathematics
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
5
Article Number
109616
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IST-REx-ID
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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