Stability of Bott--Samelson Classes in Algebraic Cobordism

13 Jul 2019  ·  Hudson Thomas, Matsumura Tomoo, Perrin Nicolas ·

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. read more

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Algebraic Geometry Algebraic Topology