A virtual structure for symplectic Higgs bundles
Algebraic Geometry
2025-11-11 v2
Abstract
We define a perfect obstruction theory for a moduli of symplectic Higgs sheaves on projective surfaces . Key to this is a minimality assumption on that forces all to be locally free. This might have implications to define a virtual count and -Vafa-Witten invariants.
Cite
@article{arxiv.2510.24531,
title = {A virtual structure for symplectic Higgs bundles},
author = {Simon Schirren},
journal= {arXiv preprint arXiv:2510.24531},
year = {2025}
}