English

Formality of derived intersections

Algebraic Geometry 2017-10-10 v2

Abstract

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).

Keywords

Cite

@article{arxiv.1302.0237,
  title  = {Formality of derived intersections},
  author = {Julien Grivaux},
  journal= {arXiv preprint arXiv:1302.0237},
  year   = {2017}
}

Comments

A mistake has been corrected in Section 5

R2 v1 2026-06-21T23:19:22.087Z