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Darondeau–Pragacz formulas in complex cobordism
Mathematische Annalen ( IF 1.4 ) Pub Date : 2021-05-12 , DOI: 10.1007/s00208-021-02196-5
Masaki Nakagawa , Hiroshi Naruse

In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in ordinary cohomology theory, which are due to Darondeau–Pragacz, to the complex cobordism theory. Then, we introduce the universal quadratic Schur functions, which are a generalization of the (ordinary) quadratic Schur functions introduced by Darondeau–Pragacz, and establish some Gysin formulas for the universal quadratic Schur functions as an application of our Gysin formulas.

更新日期:2021-05-12
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