Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Energy identity for anti-self-dual instantons on C\times\Sigma   We prove an energy identity for anti-self-dual connections on the product
C\times\Sigma of the complex plane and a Riemann surface. The energy is a
multiple of a basic constant that is determined from the values of a
corresponding Chern-Simons functional on flat connections and its ambiguity
under gauge transformations. For SU(2)-bundles this identity supports the
conjecture that the finite energy anti-self-dual instantons correspond to
holomorphic bundles over CP^1\times\Sigma. Such anti-self-dual instantons on
SU(n)- and SO(3)-bundles arise in particular as bubbles in adiabatic limits
occurring in the context of mirror symmetry and the Atiyah-Floer conjecture.
Our identity proves a quantization of the energy of these bubbles that
simplifies and strengthens the involved analysis.

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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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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: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph