Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computations of instanton invariants   Motivated by newly discovered properties of instantons on non-compact spaces,
we realised that certain analytic invariants of vector bundles detect fine
geometric properties. We present numerical algorithms, implemented in Macaulay
2, to compute these invariants.
  Precisely, we obtain the direct image and first derived functor of the
contraction map $\pi \colon Z \to X$, where $Z$ is the total space of a
negative bundle over $\mathbb{P}^1$ and $\pi$ contracts the zero section. We
obtain two numerical invariants of a rank-2 vector bundle $E$ on $Z$, the width
$h^0\bigl(X; (\pi_*E)^{\vee \vee} \bigl/ \pi_*E\bigr)$ and the height
$h^0\bigl(X; R^1 \pi_*E \bigr)$, whose sum is the local holomorphic Euler
characteristic $\chi^\text{loc}(E)$.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph