Stability of Bott--Samelson Classes in Algebraic Cobordism
arXiv:1907.06024 · doi:10.1007/978-981-15-7451-1_11
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.
23 pages. Comments are welcome