Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symplectic Divisorial Capping in Dimension 4   We investigate the notion of symplectic divisorial compactification for
symplectic 4-manifolds with either convex or concave type boundary. This is
motivated by the notion of compactifying divisors for open algebraic surfaces.
We give a sufficient and necessary criterion, which is simple and also works in
higher dimensions, to determine whether an arbitrarily small concave/convex
neighborhood exist for an $\omega$-orthogonal symplectic divisor (a symplectic
plumbing). If deformation of symplectic form is allowed, we show that a
symplectic divisor has either a concave or convex neighborhood whenever the
symplectic form is exact on the boundary of its plumbing. As an application, we
classify symplectic compactifying divisors having finite boundary fundamental
group. We also obtain a finiteness result of fillings when the boundary can be
capped by a symplectic divisor with finite boundary fundamental group.

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The categories of this paper are: q-alg
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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: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ph