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arXiv · 1908.03340

Virtual intersection theories

Young-Hoon Kiem·Hyeonjun Park
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Abstract

We construct virtual fundamental classes in all intersection theories including Chow theory, K-theory and algebraic cobordism for quasi-projective Deligne-Mumford stacks with perfect obstruction theories and prove the virtual pullback formula, the virtual torus localization formula and cosection localization principle.

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Young-Hoon Kiem, Hyeonjun Park. 2019-08-09. Virtual intersection theories. https://arxiv.org/abs/1908.03340

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