Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some properties of the Thom spectrum over loop suspension of complex
  projective space   This note provides a reference for some properties of the Thom spectrum
$M\xi$ over $\Omega\Sigma\CPi$. Some of this material is used in recent work of
Kitchloo and Morava. We determine the $M\xi$-cohomology of $\CPi$ and show that
$M\xi^*(\CPi)$ injects into power series over the algebra of non-symmetric
functions. We show that $M\xi$ gives rise to a commutative formal group law
over the non-commutative ring $\pi_*M\xi$. We also discuss how $M\xi$ and some
real and quaternionic analogues behave with respect to spectra that are related
to these Thom spectra by splittings and by maps.

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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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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: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin