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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Schubert calculus in complex cobordism

Authors: Paul Bressler and Sam Evens
Journal: Trans. Amer. Math. Soc. 331 (1992), 799-813
MSC: Primary 57R77
MathSciNet review: 1044959
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Abstract: We study the structure of the complex cobordism ring of the flag variety of a compact connected Lie group. An explicit procedure for determining products of basis elements is obtained, generalizing the work of Bernstein-Gel'fand-Gel'fand on ordinary cohomology and of Kostant-Kumar on $ K$-theory. Bott-Samelson resolutions are used to replace the classical basis of Schubert cells.

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