Virtual intersection theories

Hyeonjun Park; Young-Hoon Kiem

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arxiv 1908.03340 v2 pith:GCTQDJAZ submitted 2019-08-09 math.AG

Virtual intersection theories

Young-Hoon Kiem , Hyeonjun Park This is my paper

classification math.AG

keywords virtualtheoriesformulaintersectionlocalizationalgebraicchowclasses

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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.

Virtual intersection theories

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