Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spaces of polytopes and cobordism of quasitoric manifolds   Our aim is to bring the theory of analogous polytopes to bear on the study of
quasitoric manifolds, in the context of stably complex manifolds with
compatible torus action. By way of application, we give an explicit
construction of a quasitoric representative for every complex cobordism class
as the quotient of a free torus action on a real quadratic complete
intersection. We suggest a systematic description for omnioriented quasitoric
manifolds in terms of combinatorial data, and explain the relationship with
non-singular projective toric varieties (otherwise known as toric manifolds).
By expressing the first and third authors' approach to the representability of
cobordism classes in these terms, we simplify and correct two of their original
proofs concerning quotient polytopes; the first relates to framed embeddings in
the positive cone, and the second involves modifying the operation of connected
sum to take account of orientations. Analogous polytopes provide an informative
setting for several of the details.

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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga