Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure
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arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866913395479937024 |
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| author | Biswas, Indranil |
| author_facet | Biswas, Indranil |
| contents | Let X be a compact connected Riemann surface of genus g > 0 equipped with a nonzero holomorphic 1-form. Let M denote the moduli space of semistable Higgs bundles on X of rank r and degree r(g-1)+1; it is a complex symplectic manifold. Using the translation structure on the open subset of X where the 1-form does not vanish, we construct a natural deformation quantization of a certain nonempty Zariski open subset of M. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2108_10740 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure Biswas, Indranil Algebraic Geometry Mathematical Physics Complex Variables Let X be a compact connected Riemann surface of genus g > 0 equipped with a nonzero holomorphic 1-form. Let M denote the moduli space of semistable Higgs bundles on X of rank r and degree r(g-1)+1; it is a complex symplectic manifold. Using the translation structure on the open subset of X where the 1-form does not vanish, we construct a natural deformation quantization of a certain nonempty Zariski open subset of M. |
| title | Deformation quantization of moduli spaces of Higgs bundles on a Riemann surface with translation structure |
| topic | Algebraic Geometry Mathematical Physics Complex Variables |
| url | https://arxiv.org/abs/2108.10740 |