A virtual structure for symplectic Higgs bundles
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911256913379328 |
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| author | Schirren, Simon |
| author_facet | Schirren, Simon |
| contents | We define a perfect obstruction theory for a moduli of symplectic Higgs sheaves $(E,ϕ)$ on projective surfaces $S$. Key to this is a minimality assumption on $\textrm{ch}(E)$ that forces all $E$ to be locally free. This might have implications to define a virtual count and $Sp(r)$-Vafa-Witten invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_24531 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A virtual structure for symplectic Higgs bundles Schirren, Simon Algebraic Geometry We define a perfect obstruction theory for a moduli of symplectic Higgs sheaves $(E,ϕ)$ on projective surfaces $S$. Key to this is a minimality assumption on $\textrm{ch}(E)$ that forces all $E$ to be locally free. This might have implications to define a virtual count and $Sp(r)$-Vafa-Witten invariants. |
| title | A virtual structure for symplectic Higgs bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2510.24531 |