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Chern classes of tensor products

Name: Chern classes of tensor products
Creator: Manivel, Laurent
Keywords: Mathematics - Differential Geometry, 14C17, complex vector bundle, 01 natural sciences, 510, Mathematics - Algebraic Geometry, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], 05E05, FOS: Mathematics, Mathematics - Combinatorics

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Sep 2016Embargo end date: 01 Jan 2010 France Publisher:World Scientific Pub Co Pte LtdJournal:International Journal of Mathematics, volume 27, page 1,650,079 (issn: 0129-167X, eissn: 1793-6519,

Authors: Manivel, Laurent;

doi: 10.1142/s0129167x16500798 , 10.48550/arxiv.1012.0014

arXiv: http://arxiv.org/abs/1012.0014

Chern classes of tensor products

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Abstract

We prove explicit formulas for Chern classes of tensor products of virtual vector bundles, whose coefficients are given by certain universal polynomials in the ranks of the two bundles.

Country

France

Related Organizations

Grenoble Alpes University
France
Laboratoire Parole et Langage
France
Aix-Marseille University
France
Centrale Marseille
France
Institut de Mathématiques de Marseille
France

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Keywords

Mathematics - Differential Geometry, 14C17, complex vector bundle, 510, Mathematics - Algebraic Geometry, [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], 05E05, FOS: Mathematics, Mathematics - Combinatorics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, Algebraic Geometry (math.AG), tensor product, Segre class, Chern class, Differential Geometry (math.DG), [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG], [MATH.MATH-AT]Mathematics [math]/Algebraic Topology [math.AT], 57R20, Littlewood-Richardson coefficient, 55R40, [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], Combinatorics (math.CO)

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