PUBLICATIONS
Preprints
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[19] PBW for an inclusion of Lie algebras
(with Andrei Caldararu and Junwu Tu),
arXiv:1010.0985
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[18] Deformation quantization with generators and relations
(with Giovanni Felder and Carlo A. Rossi),
arXiv:0911.4377
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[17] Caldararu's conjecture and Tsygan's formality
(with Carlo A. Rossi and Michel Van den Bergh),
arXiv:0904.4890
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[16] Contribution to Formality of cyclic cochains by Thomas Willwacher,
arXiv:0806.4095
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[15] Weak quantization of Poisson structures
(with Gilles Halbout),
arXiv:0707.1978
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Books
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[14] Lectures on Duflo isomorphisms in Lie algebras and complex geometry
(with Carlo A. Rossi),
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To appear in Zurich Lectures in Advanced Mathematics
Preliminary version freely available on my lecture notes page
Articles
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[13] Two interacting Hopf algebras of trees
(with Kurusch Ebrahimi-Fard and Dominique Manchon),
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To appear in Advances in Applied Mathematics
Freely available at arXiv:0806.2238
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[12] Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism
(with Carlo A. Rossi),
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Letters in Mathematical Physics 95 (2011), no. 2, 135--209
Freely available at arXiv:0805.3444
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[11] Bimodules and branes in deformation quantization
(with Giovanni Felder, Andrea Ferrario and Carlo A. Rossi),
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Compositio Mathematica 147 (2011), 105--160
Freely available at arXiv:0908.2299
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[10] Hochschild (co)homology for Lie algebroids
(with Carlo A. Rossi and Michel Van den Bergh),
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International Mathematical Research Notices 2010 (2010), no. 21, 4098--4136
Freely available at arXiv:0908.2630
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[09] Hochschild cohomology and Atiyah classes
(with Michel Van den Bergh),
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Advances in Mathematics 224 (2010), no. 5, 1839--1889
Freely available at arXiv:0708.2725
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[08] Global formality at the $G_\infty$-level
(with Michel Van den Bergh)
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Moscow Mathematical Journal 10 (2010), no. 1, 31--64
Freely available at arXiv:0710.4510
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[07] Universal KZB equations: the elliptic case
(with Benjamin Enriquez and Pavel Etingof),
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Algebra, Arithmetic and Geometry Vol I: in honor of Yu. I. Manin,
Progress in Mathematics 269 (2010), 165--266
Freely available at arXiv:math/0702670
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[06] Lectures on tensor categories (with Pavel Etingof)
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IRMA Lectures in Mathematics and Theoretical Physics 12 (2008), 1--38.
Freely available at arXiv:math/0401246
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[05] Shoikhet's conjecture and Duflo isomorphism on (co)invariants (with Carlo A. Rossi)
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SIGMA
4 (2008), 060, 17 pages, contribution to the
Special Issue on Deformation Quantization
Freely available at arXiv:0805.2409
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[04] Quantization of symplectic dynamical r-matrices and the quantum composition formula (with Anton Alekseev)
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Communications in Mathematical Physics 273 (2007), no. 1, 119--136
Freely available at arXiv:math/0606498
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[03] Formality theorems for Hochschild chains in the Lie algebroid setting
(with Vasiliy Dolgushev and Gilles Halbout)
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Journal fur die reine und angewandte Mathematik 612 (2007), 81--127
Freely available at arXiv:math/0504372
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[02] Quantization of formal classical dynamical r-matrices: the reductive case
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Advances in Mathematics 204 (2006), no. 1, 84--100
Freely available at arXiv:math/0412042
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[01] Formality for Lie algebroids
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Communications in Mathematical Physics 257 (2005), no. 3, 563--578
Freely available at arXiv:math/0404265