P. Bressler, R. Nest, and B. Tsygan, Riemann-Roch theorems via deformation quantization. I, II, Adv. Math, vol.167, issue.1, p.1901245, 2002.

A. C?ld?raru, The Mukai pairing. II. The Hochschild-Kostant-Rosenberg isomorphism, Adv. Math, vol.194, issue.1, p.2657369, 1098.

A. C?ld?raru and S. Willerton, The Mukai pairing. I. A categorical approach, New York J. Math, vol.16, p.2141853, 2010.

W. Fulton, Intersection theory, p.1644323, 1998.

J. Grivaux, The Hochschild-Kostant-Rosenberg isomorphism for quantized analytic cycles, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01301438

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

M. Kashiwara, Unpublished letter to Pierre Schapira, 1991.

J. Loday, Cyclic homology, p.1600246, 1998.
URL : https://hal.archives-ouvertes.fr/hal-01267296

N. Markarian, The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem, J. Lond. Math. Soc, vol.79, issue.2, p.2472137, 1167.

N. R. O'brian, D. Toledo, Y. Lin, and L. Tong, A Grothendieck-Riemann-Roch formula for maps of complex manifolds, Math. Ann, vol.271, issue.4, p.790113, 1985.

A. C. Ramadoss, The relative Riemann-Roch theorem from Hochschild homology, New York J. Math, vol.14, p.2465798, 1158.

P. Schapira and J. Schneiders, Elliptic pairs. II. Euler class and relative index theorem, Astérisque, issue.224, pp.61-98, 1994.

D. Shklyarov, Hirzebruch-Riemann-Roch theorem for differential graded algebras, 2007.

U. Cmi and . Cnrs, , vol.6632

, France E-mail address: jgrivaux@cmi.univ-mrs.fr