A version of smooth K-theory adapted to the total Chern class
نویسندگان
چکیده
منابع مشابه
The Witten 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–Dikĭı hierarchies to higher spin curves. In [PV01], 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...
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A generalization of the Euler class in algebraic K–theory is given. Such a construction is applied to r-Spin moduli to produce the Witten top Chern class directly in K–theory. In cohomology such a class agrees with the one defined by Polishchuk and Vaintrob in [PV].
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ژورنال
عنوان ژورنال: Journal of K-Theory
سال: 2010
ISSN: 1865-2433,1865-5394
DOI: 10.1017/is010009026jkt104