# Hemisphere Partition Function and Monodromy

## TL;DR

This paper presents a method to compute D-brane monodromies using the hemisphere partition function within the gauged linear sigma model framework, demonstrated on Calabi-Yau hypersurfaces.

## Contribution

It introduces a new prescription for extracting monodromy matrices directly from the hemisphere partition function, linking physical computations to geometric monodromies.

## Key findings

- Successfully recomputed monodromy matrices for Calabi-Yau hypersurfaces
- Established a direct link between hemisphere partition functions and monodromy matrices
- Provided a practical method for analyzing D-brane monodromies

## Abstract

We discuss D-brane monodromies from the point of view of the gauged linear sigma model. We give a prescription on how to extract monodromy matrices directly from the hemisphere partition function. We illustrate this procedure by recomputing the monodromy matrices associated to one-parameter Calabi-Yau hypersurfaces in weighted projected space.