Local model of semi-toric integrable systems: theory and applications

TL;DR

This paper develops a local modeling approach for semi-toric integrable systems to prove a localization theorem for singular loci in higher dimensions, advancing understanding of their structure.

Contribution

It introduces a local model framework for semi-toric systems to establish localization results in dimensions greater than four.

Findings

Proved a localization theorem for singular loci in semi-toric systems.

Extended local modeling techniques to higher-dimensional integrable systems.

Enhanced theoretical understanding of semi-toric integrable systems.

Abstract

In this article we show how one can use the local models of integrable Hamiltonian systems near critical points to prove a localization theorem for certain singular loci of integrables semi-toric systems for dimension greater than 4.