Open Access
Translator Disclaimer
2016 Lower bounds for numbers of real solutions in problems of Schubert calculus
Evgeny Mukhin, Vitaly Tarasov
Author Affiliations +
Acta Math. 217(1): 177-193 (2016). DOI: 10.1007/s11511-016-0143-3

Abstract

We give lower bounds for the numbers of real solutions in problems appearing in Schubert calculus in the Grassmannian Gr(n,d) related to osculating flags. It is known that such solutions are related to Bethe vectors in the Gaudin model associated to gln. The Gaudin Hamiltonians are self-adjoint with respect to a non-degenerate indefinite Hermitian form. Our bound comes from the computation of the signature of that form.

Citation

Download Citation

Evgeny Mukhin. Vitaly Tarasov. "Lower bounds for numbers of real solutions in problems of Schubert calculus." Acta Math. 217 (1) 177 - 193, 2016. https://doi.org/10.1007/s11511-016-0143-3

Information

Received: 25 August 2014; Revised: 19 November 2014; Published: 2016
First available in Project Euclid: 22 February 2017

zbMATH: 1365.14070
MathSciNet: MR3646881
Digital Object Identifier: 10.1007/s11511-016-0143-3

Rights: 2017 © Institut Mittag-Leffler

JOURNAL ARTICLE
17 PAGES


SHARE
Vol.217 • No. 1 • 2016
Back to Top