TL;DR
This paper derives explicit formulas for the Chern classes of tensor products of vector bundles, expressed through universal polynomials based on the bundles' ranks, advancing the understanding of characteristic classes.
Contribution
It provides new explicit formulas for Chern classes of tensor products, using universal polynomials in the ranks of the involved bundles.
Findings
Explicit formulas for Chern classes of tensor products
Formulas expressed via universal polynomials in ranks
Enhances computational methods for characteristic classes
Abstract
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.
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