Darondeau-Pragacz formulas in complex cobordism
arXiv:1910.03649 · doi:10.1007/s00208-021-02196-5
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.
22 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