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arXiv · 1907.06024

Stability of Bott--Samelson Classes in Algebraic Cobordism

Thomas Hudson·Tomoo Matsumura·Nicolas Perrin
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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.

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Thomas Hudson, Tomoo Matsumura, Nicolas Perrin. 2019-07-13. Stability of Bott--Samelson Classes in Algebraic Cobordism. https://doi.org/10.1007/978-981-15-7451-1_11

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