3 papers
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.CO2024
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.AG2023
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…