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Paper detail

Stability of Bott--Samelson Classes in Algebraic Cobordism

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.

preprint2019arXivOpen access
Thomas HudsonTomoo MatsumuraNicolas Perrin
math.ATmath.AG
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Thomas HudsonTomoo MatsumuraNicolas Perrin

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