Séminaire Lotharingien de Combinatoire, B85a (2020), 12 pp.

Colleen Robichaux, Harshit Yadav and Alexander Yong

The A-B-C-Ds of Schubert Calculus

Abstract. We collect Atiyah-Bott Combinatorial Dreams (A-B-C-Ds) in Schubert calculus. One result relates equivariant structure coefficients for two isotropic flag manifolds, with consequences to the thesis of C. Monical. We contextualize using work of N. Bergeron and F. Sottile, of S. Billey and M. Haiman, of P. Pragacz, and of T. Ikeda, L. Mihalcea, and I. Naruse. The relation complements a theorem of A. Kresch and H. Tamvakis in quantum cohomology. Results of A. Buch and V. Ravikumar rule out a similar correspondence in K-theory.


Received: August 19, 2020. Revised: December 1, 2020. Accepted: December 30, 2020.

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