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VOL. 71 | 2016 Positivity of Thom polynomials and Schubert calculus
Piotr Pragacz

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

Abstract

We describe the positivity of Thom polynomials of singularities of maps, Lagrangian Thom polynomials and Legendrian Thom polynomials. We show that these positivities come from Schubert calculus.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1378.14057
MathSciNet: MR3644830

Digital Object Identifier: 10.2969/aspm/07110419

Subjects:
Primary: 05E05 , 14C17 , 14M15 , 14N10 , 14N15 , 32S20 , 55R40 , 57R45

Keywords: $\widetilde{Q}$-function , ample vector bundle , Grassmannian , Lagrangian Grassmannian , nonnegative cycle , positive polynomial , positivity , Schubert class , Schur function , singularity class , Thom polynomial , vector bundle generated by its global sections

Rights: Copyright © 2016 Mathematical Society of Japan

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