Séminaire Lotharingien de Combinatoire, 95B.44 (2026), 12 pp.
Cristian Lenart, Rui Xiong and Changlong Zhong
On the Combinatorics of Schubert Calculus in Elliptic Cohomology
Abstract.
The main goal of this paper is to extend two fundamental combinatorial results in Schubert calculus on flag manifolds from equivariant cohomology and K-theory to equivariant elliptic cohomology. We derive a Billey-type formula for the localization of elliptic Schubert classes (for partial flag manifolds of arbitrary type) and a {pipe dream model} for their polynomial representatives in the case of type A flag manifolds. The latter extends the pipe dream model for double Schubert and Grothendieck polynomials.
Received: November 15, 2025.
Accepted: February 15, 2026.
Final version: April 1, 2026.
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