A symplectic analog of the Quot scheme

TL;DR

This paper introduces a symplectic version of the Quot scheme, which parametrizes torsion quotients of trivial vector bundles over Riemann surfaces, and explores its properties.

Contribution

It constructs and investigates a novel symplectic analog of the Quot scheme, extending the classical theory to symplectic geometry.

Findings

Defined the symplectic Quot scheme and analyzed its structure

Identified key properties and potential applications of the symplectic analog

Provided foundational results for future research in symplectic geometry

Abstract

We construct a symplectic analog of the Quot scheme that parametrizes the torsion quotients of a trivial vector bundle over a compact Riemann surface. Some of its properties are investigated.