Formality of derived intersections
Documenta mathematica, Tome 19 (2014), pp. 1003-1016
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).
Classification :
14C17
Mots-clés : derived categories, intersection theory, quantized analytic cycles
Mots-clés : derived categories, intersection theory, quantized analytic cycles
@article{10_4171_dm_471,
author = {Julien Grivaux},
title = {Formality of derived intersections},
journal = {Documenta mathematica},
pages = {1003--1016},
year = {2014},
volume = {19},
doi = {10.4171/dm/471},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/471/}
}
Julien Grivaux. Formality of derived intersections. Documenta mathematica, Tome 19 (2014), pp. 1003-1016. doi: 10.4171/dm/471
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