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arxiv: 1302.0237 · v2 · pith:TA2MCII3new · submitted 2013-02-01 · 🧮 math.AG

Formality of derived intersections

classification 🧮 math.AG
keywords derivedcomplexformalintersectionintersectionsanalyticcasesconditions
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We study derived intersections of smooth analytic cycles, and provide in some cases necessary and sufficient conditions for this intersection be formal. In particular, if X is a complex submanifold of a complex manifold Y, we prove that X can be quantized if and only if the derived intersection of XxX and \Delta_Y is formal in D(XxX).

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