Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Primitive disk complexes for lens spaces   For a genus two Heegaard splitting of a lens space, the primitive disk
complex is defined to be the full subcomplex of the disk complex for one of the
handlebodies of the splitting spanned by all vertices of primitive disks. In
this work, we describe the complete combinatorial structure of the primitive
disk complex for the genus two Heegaard splitting of each lens space. In
particular, we find all lens spaces whose primitive disk complexes are
contractible.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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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: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th