# Lagrangian Floer homology on symplectic blow ups

## TL;DR

This paper develops a method to compute Lagrangian Floer homology on symplectic blow ups using base manifold data, demonstrated through an example involving the Clifford torus in a blown-up projective plane.

## Contribution

It introduces a new approach to calculate Lagrangian Floer homology on symplectic blow ups based on base manifold information, simplifying complex computations.

## Key findings

- Computed Lagrangian Floer homology on blow ups using base data
- Provided an alternative calculation for the Clifford torus in blown-up CP^2
- Demonstrated the method's effectiveness with explicit examples

## Abstract

We show how to compute the Lagrangian Floer homology in the one-point blow up of the proper transform of Lagrangians submanifolds, solely in terms of information of the base manifold. As an example we present an alternative computation of the Lagrangian quantum homology in the one-point blow up of (CP^2,\omega) of the proper transform of the Clifford torus.