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arXiv · 1807.04989

Bivariant derived algebraic cobordism

Toni Annala
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Abstract

We extend the derived Algebraic bordism of Lowrey and Sch\"urg to a bivariant theory in the sense of Fulton and MacPherson, and establish some of its basic properties. As a special case, we obtain a completely new theory of cobordism rings of singular quasi-projective schemes. The extended cobordism is shown to specialize to algebraic $K^0$ analogously to Conner-Floyd theorem in topology. We also give a candidate for the correct definition of Chow rings of singular schemes.

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Toni Annala. 2018-07-13. Bivariant derived algebraic cobordism. https://arxiv.org/abs/1807.04989

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