Universal gysin formulas for the universal hall-littlewood functions

Masaki Nakagawa, Hiroshi Naruse

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)

Abstract

It is known that the usual Schur S-and P-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 universal analogue of the Hall-Littlewood polynomials, which we call the universal Hall-Littlewood functions, and give Gysin formulas for various flag bundles in the complex cobordism theory. Furthermore, we give two kinds of the universal analogue of the Schur polynomials, and some Gysin formulas for these functions are established.

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages201-244
Number of pages44
Volume708
DOIs
Publication statusPublished - Jan 1 2018

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Keywords

  • Complex-oriented generalized cohomology theory
  • Gysin map
  • Hall-Littlewood function
  • Schur S-, P- and Q-functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Nakagawa, M., & Naruse, H. (2018). Universal gysin formulas for the universal hall-littlewood functions. In Contemporary Mathematics (Vol. 708, pp. 201-244). American Mathematical Society. https://doi.org/10.1090/conm/708/14267