3 papers
math.CO2026
Link patterns and elliptic Hecke algebra
Andrzej Weber
We compare three families of geometric objects: Schubert varieties in flag manifolds, matrix Schubert varieties, and Borel orbits of 2-nilpotent matrices. The first family is index…
math.AG2025
Four paths from birational geometry to the elliptic genus
Andrzej Weber
The article presents four reasons why the elliptic genus is the most general characteristic class that admits a generalization to singular spaces. We prove that the elliptic charac…
math.AG2024
Hecke algebra action on twisted motivic Chern classes and K-theoretic stable envelopes
Jakub Koncki, Andrzej Weber
Let be a linear semisimple algebraic group and its Borel subgroup. Let be the maximal torus. We study the inductive construction of Bott-Samelson vari…