N. Poncin: Research papers and editorial work

 

1. Higher Trace and Berezinian of Matrices over a Clifford Algebra , preprint arXiv: 1109.5877 (with Tiffany Covolo and Valentin Ovsienko)
2. Loday algebroids and their supergeometric interpretation , preprint arXiv: 1103.5852 (with J. Grabowski and D. Khudaverdyan)
3. Lie superalgebras of differential operators , preprint arXiv: 1011.1804 (with J. Grabowski and A. Kotov)
4. Higher categorified algebras versus bounded homotopy algebras , preprint arXiv:1007.5458, to appear in Theo. Appl. Cat. (with D. Khudaverdyan and A. Mandal)
5. Equivariant Quantization of Orbifolds , J. Geo. Phys., 60(9), 2010, pp 1103-1111 (with F. Radoux and R. Wolak)
6. The structure of Poisson cohomology , Universitatis Iagellonicae Acta Mathematica, XLVII, 2009, publ. 2010, pp 155-169 (with M. Ammar and G. Kass)
7. Geometric structures encoded in the Lie structure of an Atiyah algebroid , Transformation Groups, 16(1), 2011, pp 137 - 160 (with J. Grabowski and A. Kotov)
8. Lie algebaic characterization of supercommutative space , J. Lie Theo., 20, 2010, 739 - 749 (with J. Grabowski and A. Kotov)
9. Coalgebraic Approach to the Loday Infinity Category, Stem Differential for 2n-ary Graded and Homotopy Algebras , Ann. Inst. Fourier, 60(1), 2010, pp 321-353 (with M. Ammar)
10. A First Approximation for Quantization of Singular Spaces , J. Geo. Phys, 59(4), 2009, pp 503-518 (with F. Radoux and R. Wolak)
11. Dequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields , ESI and ArXiv preprints (with Y. Frégier and P. Mathonet)
12. Strongly r-matrix induced tensors, Koszul cohomology, and arbitrary-dimensional quadratic Poisson cohomology , Pacific J. Math., 245(1), 2010, pp 1-23 (with M. Ammar, G. Kass, M. Masmoudi)
13. Decomposition of symmetric tensor fields in the presence of a flat contact projective structure , J. Non Lin. Math. Phys., 15(2), 2008, pp 252-269 (with Y. Frégier and P. Mathonet)
14. Formal Poisson cohomology of twisted r-matrix induced structures , Israel J. Math., 165(1), 2008, pp 381-411 (with M. Ammar)
15. On quantum and classical Poisson algebras , Banach Center Publ., 76, 2008, pp 313-324 (with J. Grabowski)
16. Proceedings of the 8th Conference on Geometry and Topology of Manifolds: Lie algebroids, dynamical systems and applications , Travaux mathématiques, vol XVIII, 2008, 202 p (with J. Kubarski and R. Wolak, editors)
17. On a general approach to the formal cohomology of quadratic Poisson structures , J. Pure Appl. Alg., 208(3), 2007, pp 887-904 (with M. Masmoudi)
18. Derivations of the Lie algebras of differential operators , Indag. Mathem., 16(2), 2005, pp 181-200 (with J. Grabowski)
19. Lie - algebraic characterizations of manifolds , Cent. Eur. J. Math., 2(5), 2005, MR 2004, pp 811-825, Proc. 5th Conf. Geo. Topo. Mfd. (with J. Grabowski)
20. Proceedings of the 4th Conference on Poisson Geometry , Travaux mathématiques, vol. XVI, 2005, 347 p (with C. Molitor-Braun and M. Schlichenmaier, editors) 
21. Automorphisms of quantum and classical Poisson algebras , Compositio Math., 140, 2004, pp 511-527 (with J. Grabowski)
22. Equivariant Operators between some Modules of the Lie Algebra of Vector Fields , Comm. Alg., 32 (7), 2004, pp 2559-2572
23. Equivariant Symbol Calculus for Differential Operators acting on Forms , Lett. Math. Phys., 62 (3), 2002, pp 219-232 (with F. Boniver, S. Hansoul, P. Mathonet)
24. Proceedings of the international conference "Harmonic Analysis" , Luxembourg and Metz, 2002, Travaux mathématiques, vol XIV, 2003, 176 p (with B. Bekka, J. Ludwig, and C. Molitor-Braun, editors)
25. On the Cohomology of the Nijenhuis-Richardson Graded Lie Algebra of the Space of Functions of a Manifold , J. of Alg., 243(1), 2001, pp 16-40
26. Premiers espaces de cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variété , Bull. Belg. Math. Soc. Simon Stevin, 8, 2001, pp 141-146
27. Cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions , C.R. Acad. Sci. Paris, t. 328, Série I, 1999, pp 789-794
28. Cohomologie de Chevalley-Eilenberg de l'algèbre des opérateurs locaux sur l'espace des fonctions d'une variété , Trav. math., X, 1998, pp 103-115
29. Troisième espace de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété, à coefficients dans les fonctions , Bull. Soc. Roy. Sci. Liège, vol 67 (6), 1998, pp 339-393
30. Premier et deuxième espaces de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété , à coefficients dans les fonctions, Bull. Soc. Roy. Sci. Liège, vol. 67 (6), 1998, pp 291-337