# Splitting of the virtual class for genus one stable quasimaps

## TL;DR

This paper investigates the local structure of the moduli space of genus one stable quasimaps and proves a splitting formula for their virtual cycle in the context of complete intersections, advancing the understanding of their geometric properties.

## Contribution

It introduces a splitting formula for the virtual cycle of genus one stable quasimaps, integrating p-fields theory to enhance the analysis of their moduli space.

## Key findings

- Established a splitting formula for the virtual cycle
- Analyzed the local structure of the moduli space
- Connected p-fields theory with genus one quasimaps

## Abstract

We analyse the local structure of moduli space of genus one stable quasimaps. Combining it with the p-fields theory developed in \cite{L}, we prove the splitting formula for the virtual cycle of stable quasimaps to complete intersections in $\PP^n$.