Darondeau-Pragacz formulas in complex cobordism

Abstract

In this paper, we generalize the push-forward (Gysin) formulas for flag bundles in the ordinary cohomology theory, which are due to Darondeau-Pragacz, to the complex cobordism theory. Then we introduce the {\it 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.

arXiv comment22 pages. arXiv admin note: text overlap with arXiv:1705.04791; The exposition was improved considerably(The number of pages was reduced from 36 to 22). A part of this paper was separated from our previous paper arXiv:1705.04791, which will be revised soon

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• Algebraic cobordism
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Cited by in corpus (2)

• The universal factorial Hall-Littlewood $P$- and $Q$-functions
• Integrable models and $K$-theoretic pushforward of Grothendieck classes