Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of 4-manifolds described as sequences of 3-d handlebodies   Work of numerous authors has shown that any smooth, orientable, closed
4-manifold may be described as a loop of Morse functions on a surface, a loop
in the cut complex, a loop in the pants complex, or as a multisection. In this
paper, we prove a corresponding uniqueness theorem for each of these
descriptions, so that, for example, any two loops of Morse functions on a
surface yielding diffeomorphic 4-manifolds are related by a given set of moves.

15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an