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Smooth Schubert
varieties and generalized Schubert polynomials in algebraic
cobordism of Grassmannians
Jens Hornbostel and Nicolas Perrin |
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Vol. 294 (2018), No. 2, 401–422
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Abstract |
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We provide several ingredients towards a generalization of the Littlewood–Richardson rule from Chow groups to algebraic cobordism. In particular, we prove a simple product formula for multiplying classes of smooth Schubert varieties with any Bott–Samelson class in algebraic cobordism of Grassmannians. We also establish some results for generalized Schubert polynomials for hyperbolic formal group laws. |
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Keywords
Schubert calculus, cobordism, Grassmannian, generalized
cohomology
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Mathematical Subject Classification 2010
Primary: 14F43, 14M15, 14N15, 19L41, 55N22
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Milestones
Received: 21 March 2017
Revised: 26 September 2017
Accepted: 3 November 2017
Published: 20 February 2018
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Authors |
| Jens Hornbostel | |
| Bergische Universität
Wuppertal Fachgruppe Mathematik und Informatik Wuppertal Germany |
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| Nicolas Perrin | |
| Laboratoire de Mathématiques de
Versailles, UVSQ, CNRS Université Paris-Saclay Versailles France |
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