A K-theoretic Fulton class

Richard P. Thomas

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arXiv · 1810.00079

A K-theoretic Fulton class

Richard P. Thomas

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Abstract

Fulton defined classes in the Chow group of a quasi-projective scheme $M$ which reduce to its Chern classes when $M$ is smooth. When $M$ has a perfect obstruction theory, Siebert gave a formula for its virtual cycle in terms of its total Fulton class. We describe K-theory classes on $M$ which reduce to the exterior algebra of differential forms when $M$ is smooth. When $M$ has a perfect obstruction theory, we give a formula for its K-theoretic virtual structure sheaf in terms of these classes.

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Richard P. Thomas. 2018-09-28. A K-theoretic Fulton class. https://arxiv.org/abs/1810.00079

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