# Double $J$-function of stable quasimap invariants for complete intersection in Grassmannian

## TL;DR

This paper derives explicit formulas for the $J$-function and double $J$-function of stable quasimaps to complete intersections in Grassmannians using localization techniques.

## Contribution

It provides new explicit formulas for $J$-functions and double $J$-functions in the context of stable quasimaps to Grassmannians, advancing computational methods in enumerative geometry.

## Key findings

- Explicit formulas for $J$-function of stable quasimaps.
- Explicit formulas for double $J$-function of stable quasimaps.
- Application of localization methods to Grassmannian quasimaps.

## Abstract

Using localization methods on the moduli space of stable quasimaps to Grassmannian, we give explicit formulas of $J$-function and double $J$-function of stable quasimaps for complete intersection in Grassmannian.