Universal gysin formulas for the universal hall-littlewood functions

Masaki Nakagawa, Hiroshi Naruse

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Citations (Scopus)


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
Number of pages44
Publication statusPublished - 2018

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627


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

ASJC Scopus subject areas

  • Mathematics(all)


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