Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Author: Schirren, Simon
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7102399290
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