Geodesic
Formality of derived intersections
Documenta mathematica, Tome 19 (2014), pp. 1003-1016

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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 X2 and ΔY​ is formal in Db(X2).
DOI : 10.4171/dm/471
Classification : 14C17
Mots-clés : derived categories, intersection theory, quantized analytic cycles 
Julien Grivaux. Formality of derived intersections. Documenta mathematica, Tome 19 (2014), pp. 1003-1016. doi: 10.4171/dm/471
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