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arXiv · 1312.4002

A K-theory approach to the tangent invariants of blow-ups

Haibao Duan
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Abstract

We extend the formula for the Chern classes of blow-ups of algebraic varieties due to Porteous and Lascu-Scott, and of symplectic and complex manifolds due to Geiges and Pasquotto, to the blow-ups of almost complex manifolds. Our approach is based on a concrete partition for the tangent bundle of a blow-up. The use of topological K-theory of vector bundles simplifies the classical approaches.

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Haibao Duan. 2013-12-14. A K-theory approach to the tangent invariants of blow-ups. https://arxiv.org/abs/1312.4002

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