Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Miraculous Cancellation and Pick's Theorem   We show that the Cappell-Shaneson version of Pick's theorem for simple
lattice polytopes is a consequence of a general relation between characteristic
numbers of virtual submanifolds dual to the characteristic classes of a stably
almost complex manifold. This relation is analogous to the miraculous
cancellation formula of Alvarez-Gaume and Witten, and is imposed by the action
of the Landweber-Novikov algebra in the complex cobordism ring of a point.

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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th