Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cyclic actions and elliptic genera   Let $M$ be a $Spin$-manifold with $S^1$-action and let $\sigma \in S^1$ be of
finite order. We show that the indices of certain twisted Dirac operators
vanish if the action of $\sigma $ has sufficiently large fixed point
codimension. These indices occur in the Fourier expansion of the elliptic genus
of $M$ in one of its cusps. As a by-product we obtain a new proof of a theorem
of Hirzebruch and Slodowy on involutions.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cs