Darondeau–Pragacz formulas in complex cobordism

Masaki Nakagawa, Hiroshi Naruse

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
JournalMathematische Annalen
DOIs
Publication statusAccepted/In press - 2021

ASJC Scopus subject areas

  • Mathematics(all)

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