Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Witten Genus and Elliptic genera for proper actions   In this paper, we construct for the first time, the Witten genus and elliptic
genera on noncompact manifolds with a proper cocompact action by an almost
connected Lie group and prove vanishing and rigidity results that generalise
known results for compact group actions on compact manifolds. We also compute
our genera for some interesting examples, and study the non-spinc case in an
appendix.

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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom