Chern character of Schur bundles
Alessandro D'Andrea, Enrico Fatighenti, Claudio Onorati
TL;DR
This paper provides an explicit formula for computing the Chern classes of Schur bundles derived from a vector bundle, expressed in terms of the original bundle's Chern classes.
Contribution
It introduces a novel explicit formula for the Chern classes of Schur bundles based on the Chern classes of the original vector bundle.
Findings
Explicit formula for Chern classes of Schur bundles
Expresses Schur bundle Chern classes in terms of original bundle's classes
Facilitates calculations in algebraic geometry involving Schur bundles
Abstract
Given a vector bundle , we give an explicit formula to compute Chern classes of Schur bundles in terms of those of .
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Taxonomy
TopicsGeometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory