D. Arinkin and A. C?ld?raru, When is the self-intersection of a subvariety a fibration?, Adv. Math, vol.231, issue.2, pp.815-842, 2012.

D. Calaque, M. Van-den, and . Bergh, Hochschild cohomology and Atiyah classes, Adv. Math, vol.224, issue.5, pp.1839-1889, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00167742

D. Calaque, A. C?ld?raru, and J. Tu, PBW for an inclusion of Lie algebras, J. of Algebra, vol.378, pp.64-79, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00540515

D. Calaque, A. C?ld?raru, and J. Tu, On the Lie algebroid of a derived self-intersection, Adv. Math, vol.262, pp.751-783, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00997555

P. Deligne and J. W. Morgan, Notes on supersymmetry (following Joseph Bernstein), Quantum fields and strings: a course for mathematicians, vol.1, pp.41-97, 1996.

M. Duflo, Opérateurs différentiels bi-invariants sur un groupe de Lie, Annales scientifiques de l'École normale supérieure, vol.10, pp.265-288, 1977.

J. Grivaux, On a conjecture of Kashiwara relating Chern and Euler classes of o-modules, J. Differential Geom, vol.90, issue.2, pp.267-275, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01301388

J. Grivaux, The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles, Int. Math. Res. Not. IMRN, issue.4, pp.865-913, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01301438

J. Grivaux, Derived geometry of the first formal neighbourhood of a smooth analytic cycle, 2017.

G. Hochschild, B. Kostant, and A. Rosenberg, Differential forms on regular affine algebras, Trans. Amer. Math. Soc, vol.102, pp.383-408, 1962.

M. Kapranov, Rozansky-Witten invariants via Atiyah classes, Compositio Math, vol.115, issue.1, pp.71-113, 1999.

M. Kashiwara and P. Schapira, Deformation quantization modules, 2012.

M. Kontsevich, Deformation quantization of Poisson manifolds, Lett. Math. Phys, vol.66, issue.3, pp.157-216, 2003.

N. Markarian, The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem, J. Lond. Math. Soc, vol.79, issue.2, pp.129-143, 2009.

A. C. Ramadoss, The big Chern classes and the Chern character, Internat. J. Math, vol.19, issue.6, pp.699-746, 2008.

A. C. Ramadoss, The relative Riemann-Roch theorem from Hochschild homology, New York J. Math, vol.14, pp.643-717, 2008.

D. Toledo, Y. Lin, and L. Tong, Duality and intersection theory in complex manifolds, I. Mathematische Annalen, vol.237, issue.1, pp.41-77, 1978.

S. Yu, Todd class via homotopy perturbation theory, 2016.

, I2M (Marseille) & IHÉS E-mail address: damien.calaque@umontpellier.fr E-mail address: jgrivaux@math