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