Jet bundles on projective space: New examples

TL;DR

This paper extends the understanding of jet bundles from the projective line to higher-dimensional projective spaces, revealing structural differences and exploring algebraic K-theory classes associated with these bundles.

Contribution

It demonstrates that the structural differences of jet bundles observed on the projective line also occur in higher dimensions and investigates related algebraic K-theory classes.

Findings

Jet bundles on higher-dimensional projective spaces exhibit similar structural differences as on the projective line.

The paper identifies classes in algebraic K-theory associated with these jet bundles.

Structural properties of jet bundles are generalized to any dimension.

Abstract

In previous papers it was shown that the left and right O-module structure of the jet bundles on the projective line differed. In this paper we show that similar statements hold for jet bundles on projective space in any dimension. We also consider some classes associated to jet bundles in the algebraic K-theory of projective space.