Stability of Bott--Samelson Classes in Algebraic Cobordism
Algebraic Geometry
2022-05-17 v1 Algebraic Topology
Abstract
In this paper, we construct stable Bott--Samelson classes in the projective limit of the algebraic cobordism rings of full flag varieties, upon an initial choice of a reduced word in a given dimension. Each stable Bott--Samelson class is represented by a bounded formal power series modulo symmetric functions in positive degree. We make some explicit computations for those power series in the case of infinitesimal cohomology. We also obtain a formula of the restriction of Bott--Samelson classes to smaller flag varieties.
Keywords
Cite
@article{arxiv.1907.06024,
title = {Stability of Bott--Samelson Classes in Algebraic Cobordism},
author = {Thomas Hudson and Tomoo Matsumura and Nicolas Perrin},
journal= {arXiv preprint arXiv:1907.06024},
year = {2022}
}
Comments
23 pages. Comments are welcome