Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on Embeddings of Rational Homology Balls in Symplectic
  4-manifolds   The rational homology balls $B_n$ appeared in Fintushel and Stern's rational
blow-down construction [FS2]. Later, Symington [Sy1], defined this operation in
the symplectic category. In [Kh2], the author defined the inverse procedure,
the symplectic rational blow-up. In this paper, we study the obstructions to
symplectically rationally blowing up a symplectic 4-manifold, i.e. the
obstructions to symplectically embedding the rational homology balls $B_n$ into
a symplectic 4-manifold. We prove a theorem and give additional examples which
suggest that in order to symplectically embed the rational homology balls
$B_n$, for high n, a symplectic 4-manifold must at least have a high enough
$c_1^2$ as well.

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The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph