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arxiv: math/0610369 · v1 · submitted 2006-10-11 · 🧮 math.GT

Virtual Manifolds and Localization

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keywords virtuallocalizationmanifoldsclassdevelopdifferentialexploreformula
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In this paper, we explore the virtual technique that is very useful in studying moduli problem from differential geometric point of view. We introduce a class of new objects "virtual manifolds/orbifolds", on which we develop the integration theory. In particular, the virtual localization formula is obtained.

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