Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of stable rank 2 vector bundles on $\mathbb{P}^3$ via
  symplectic bundles   In this article we study the Gieseker-Maruyama moduli spaces
$\mathcal{B}(e,n)$ of stable rank 2 algebraic vector bundles with Chern classes
$c_1=e\in\{-1,0\},\ c_2=n\ge1$ on the projective space $\mathbb{P}^3$. We
construct two new infinite series $\Sigma_0$ and $\Sigma_1$ of irreducible
components of the spaces $\mathcal{B}(e,n)$, for $e=0$ and $e=-1$,
respectively. General bundles of these components are obtained as cohomology
sheaves of monads, the middle term of which is a rank 4 symplectic instanton
bundle in case $e=0$, respectively, twisted symplectic bundle in case $e=-1$.
We show that the series $\Sigma_0$ contains components for all big enough
values of $n$ (more precisely, at least for $n\ge146$). $\Sigma_0$ yields the
next example, after the series of instanton components, of an infinite series
of components of $\mathcal{B}(0,n)$ satisfying this property.

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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph