Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum even spheres Sigma_q^2n from Poisson double suspension   We define even dimensional quantum spheres Sigma_q^2n that generalize to
higher dimension the standard quantum two-sphere of Podle's and the four-sphere
Sigma_q^4 obtained in the quantization of the Hopf bundle. The construction
relies on an iterated Poisson double suspension of the standard Podle's
two-sphere. The Poisson spheres that we get have the same symplectic foliation
consisting of a degenerate point and a symplectic plane and, after
quantization, have the same C^*-algebraic completion. We investigate their
K-homology and K-theory by introducing Fredholm modules and projectors.

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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex