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Gysin maps, duality, and Schubert classes

Volume 244 / 2019

Lionel Darondeau, Piotr Pragacz Fundamenta Mathematicae 244 (2019), 191-208 MSC: 14C17, 14M15, 14N15, 05E05. DOI: 10.4064/fm588-6-2018 Published online: 25 October 2018

Abstract

We establish a Gysin formula for Kempf–Laksov flag bundles and we prove a duality theorem for Grassmann bundles. We then combine them to study Schubert bundles, their push-forwards and fundamental classes.

Authors

  • Lionel DarondeauIMAG, Univ Montpellier
    CNRS Montpellier, France
    e-mail
  • Piotr PragaczInstitute of Mathematics
    Polish Academy of Sciences
    Śniadeckich 8
    00-656 Warszawa, Poland
    e-mail

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