Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Witten's top Chern class via K-theory   The Witten top Chern class is the crucial cohomology class needed to state a
conjecture by Witten relating the Gelfand-Dikii hierarchies to higher spin
curves. In math.AG/0011032, Polishchuk and Vaintrob provide an algebraic
construction of such a class. We present a more straightforward construction
via K-theory. In this way we short-circuit the passage through bivariant
intersection theory and the use of MacPherson's graph construction.
Furthermore, we show that the Witten top Chern class admits a natural lifting
to the K-theory ring.

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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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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: ao-sci