# A Note on Disk Counting in Toric Orbifolds

## TL;DR

This paper extends methods for computing orbi-disk invariants from toric Calabi-Yau orbifolds to Gorenstein semi-Fano toric orbifolds, showing the orbi-disc potential is analytic over complex numbers.

## Contribution

It introduces a new approach for calculating orbi-disk invariants in a broader class of toric orbifolds, expanding the applicability of existing techniques.

## Key findings

- Computed orbi-disk invariants for Gorenstein semi-Fano toric orbifolds.
- Established the analyticity of the orbi-disc potential over complex numbers.
- Extended methods from Calabi-Yau to semi-Fano toric orbifolds.

## Abstract

We compute orbi-disk invariants of compact Gorenstein semi-Fano toric orbifolds by extending the method used for toric Calabi-Yau orbifolds. As a consequence the orbi-disc potential is analytic over complex numbers.