Reality and transversality for Schubert calculus in OG(n,2n+1)

Abstract

We prove an analogue of the Mukhin-Tarasov-Varchenko theorem (formerly the Shapiro-Shapiro conjecture) for the maximal type B_n orthogonal Grassmannian OG(n,2n+1).

6 pages

References in corpus (3)

• Schubert calculus and representations of general linear group
• The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
• Frontiers of Reality in Schubert Calculus