# A monotone Lagrangian casebook

## TL;DR

This paper introduces new calculations in Lagrangian Floer theory, exploring symplectic reduction, grading periodicity, and the closed-open map, while illustrating key theoretical sequences and quilt theory.

## Contribution

It provides novel computational examples and insights into symplectic reduction, grading periodicity, and the closed-open map in Lagrangian Floer theory.

## Key findings

- Demonstrates relations between symplectic reduction and Floer theory
- Illustrates Perutz's symplectic Gysin sequence
- Shows applications of quilt theory in Floer calculations

## Abstract

We present an array of new calculations in Lagrangian Floer theory which demonstrate observations relating to symplectic reduction, grading periodicity, and the closed-open map. We also illustrate Perutz's symplectic Gysin sequence and the quilt theory of Wehrheim and Woodward.