Nonrational Symplectic Toric Cuts

TL;DR

This paper extends the concepts of cutting and blowing up to nonrational symplectic toric manifolds and orbifolds, broadening the scope of symplectic toric geometry techniques.

Contribution

It introduces methods for cutting and blowing up in nonrational directions within the symplectic toric setting, which were not previously available.

Findings

Developed nonrational symplectic cutting techniques

Extended blowing up procedures to nonrational directions

Applied methods to symplectic toric manifolds and orbifolds

Abstract

In this article we extend cutting and blowing up to the nonrational symplectic toric setting. This entails the possibility of cutting and blowing up for symplectic toric manifolds and orbifolds in nonrational directions.