Positivity of Thom polynomials II: the Lagrange singularities

TL;DR

This paper proves that Thom polynomials for Lagrangian singularities have nonnegative coefficients when expressed in a specific basis, using geometric tools related to cone classes.

Contribution

It establishes the nonnegativity of Thom polynomial coefficients for Lagrangian singularities in a particular basis, advancing understanding of their structure.

Findings

Thom polynomials for Lagrangian singularities have nonnegative coefficients.

The proof uses nonnegativity of cone classes for globally generated bundles.

Provides a new geometric approach to studying Thom polynomials.

Abstract

We show that Thom polynomials of Lagrangian singularities have nonnegative coefficients in the basis consisting of Q-functions. The main tool in the proof is nonnegativity of cone classes for globally generated bundles.