Equivariant Cobordism of Flag Varieties and of Symmetric Varieties

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

We obtain an explicit presentation of the equivariant cobordism ring of a
complete flag variety. An immediate corollary is a Borel presentation of the
ordinary cobordism ring. Another application is an equivariant Schubert
calculus in cobordism. We also describe the rational cobordism rings of
wonderful symmetric varieties of minimal rank.

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