# A K-theoretic Fulton class

@article{Thomas2018AKF, title={A K-theoretic Fulton class}, author={Richard P. Thomas}, journal={arXiv: Algebraic Geometry}, year={2018} }

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.

#### 5 Citations

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