Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A K-theory approach to the tangent invariants of blow-ups   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.

19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph