@inproceedings{29bda082181342859f3eb5e42e4e037f,
title = "Stability of Bott–Samelson Classes in Algebraic Cobordism",
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 = "Bott–Samelson resolution, Cobordism, Flag variety, Schubert calculus",
author = "Thomas Hudson and Tomoo Matsumura and Nicolas Perrin",
note = "Publisher Copyright: {\textcopyright} 2020, Springer Nature Singapore Pte Ltd.; International Festival in Schubert Calculus, ICTSC 2017 ; Conference date: 06-11-2017 Through 10-11-2017",
year = "2020",
month = jan,
day = "1",
doi = "10.1007/978-981-15-7451-1\_11",
language = "English",
isbn = "9789811574504",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer",
pages = "281--306",
editor = "Jianxun Hu and Changzheng Li and Mihalcea, \{Leonardo C.\}",
booktitle = "Schubert Calculus and Its Applications in Combinatorics and Representation Theory, ICTSC 2017",
}