Universal Gysin formulas for the universal Hall-Littlewood functions
Algebraic Topology
2020-01-14 v3
Abstract
It is known that the usual Schur - and -polynomials can be described via the Gysin homomorphisms for flag bundles in the ordinary cohomology theory. Recently, P. Pragacz generalized these Gysin formulas to the Hall-Littlewood polynomials. In this paper, we introduce a {\it universal} analogue of the Hall-Littlewood polynomials, which we call the {\it universal Hall-Littlewood functions}, and give Gysin formulas for various flag bundles in the complex cobordism theory. Furthermore, we give two kinds of the {\it universal} analogue of the schur polynomials, and some Gysin formulas for these functions are established.
Keywords
Cite
@article{arxiv.1604.00451,
title = {Universal Gysin formulas for the universal Hall-Littlewood functions},
author = {Masaki Nakagawa and Hiroshi Naruse},
journal= {arXiv preprint arXiv:1604.00451},
year = {2020}
}
Comments
42 pages, AMSLaTeX; Some new results added in Sections 4,5, Typos corrected, References added, Minor changes in Section 5