Chern classes of tensor products

Laurent Manivel (1)

1 IF - Institut Fourier

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

Mots clés: Chern class; tensor product; complex vector bundle; Littlewood-Richardson coefficient; Segre class

Domaines: Géométrie algébrique [math.AG]; Combinatoire [math.CO]; Géométrie différentielle [math.DG]; Topologie algébrique [math.AT]

Laurent Manivel. Chern classes of tensor products. International Journal of Mathematics, 2016, ⟨10.1142/S0129167X16500798⟩. ⟨hal-00541455⟩