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Prof. Dr. Norbert PONCIN
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| Fakultät oder Zentrum | Fakultät für Naturwissenschaften, Technologie und Medizin | ||||||
| Department | Fachbereich Mathematik | ||||||
| Postadresse |
Université du Luxembourg 2, Avenue de l'Université L-4365 Esch-sur-Alzette |
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In press
The Geometry of Supersymmetry - A Concise Introduction;
in Graduate Journal of Mathematics (in press)
2022
Comparison theorems for Kan, faintly universal and strongly universal derived functors; ;
in Surveys in Mathematics and its Applications (2022), 17
A new approach to model categorical homotopy fiber sequences; ;
in Dissertationes Mathematicae (2022), doi: 10.4064/dm858-5-2022
The Tor Spectral Sequence and Flat Morphisms in Homotopical D-Geometry; ;
E-print/Working paper (2022)
Indeterminacies and models of homotopy limits; ;
in Theory and Applications of Categories (2022), 38(41), 1608-1635
Differential graded Lie groups and their differential graded Lie algebras; ; ;
in Transformation Groups (2022), 10.1007/s00031-021-09666-9
2021
Linear Z2n-Manifolds and Linear Actions; ;
in Symmetry, Integrability and Geometry: Methods and Applications (2021), 17(060), 58
Local Forms of Morphisms of Colored Supermanifolds; ;
in Journal of Geometry and Physics (2021), 168
2020
The Schwarz-Voronov embedding of Z_2^n - manifolds; ;
in Symmetry, Integrability and Geometry: Methods and Applications (2020), 16(002), 47
Functional analytic issues in Z_2 ^n Geometry;
in Revista de la Union Matematica Argentina (2020), 60(2), 611-636
2019
Products in the category of Z_2^n manifolds;
in Journal of Nonlinear Mathematical Physics (2019), 26(3), 420-453
Homotopical algebraic context over differential operators; ;
in Journal of Homotopy and Related Structures (2019), 14(1), 293-347
2018
Koszul-Tate resolutions as cofibrant replacements of algebras over differential operators; ;
in Journal of Homotopy and Related Structures (2018), 13(4), 793-846
2017
Homotopical Geometry over Differential Operators and Batalin-Vilkovisky ComplexPresentation (2017, December 18)
2016
Free Courant and Derived Leibniz Pseudoalgebras; ;
in Journal of Geometric Mechanics (2016), 8(1), 71-97
2015
Model structure on differential graded commutative algebras over the ring of differential operators; ;
E-print/Working paper (2015)
Model categorical Koszul-Tate resolution for algebras over differential operators; ;
E-print/Working paper (2015)
2014
On the infinity category of homotopy Leibniz algebras; ;
in Theory and Applications of Categories (2014), 29(12), 332-370
2013
2012
Higher trace and Berezinian of matrices over a Clifford algebra; ;
in Journal of Geometry and Physics (2012), 62(11), 22942319
2011
Geometric structures encoded in the Lie structure of an Atiyah algebroid; ;
in Transformation Groups (2011), 16(1), 137--160
Higher categorified algebras versus bounded homotopy algebras; ;
in Theory and Applications of Categories (2011), 25
2010
Strongly r-matrix induced tensors, Koszul cohomology and arbitrary-dimensional quadratic Poisson cohomology; ; ;
in Pacific Journal of Mathematics (2010), 245(1), 1--23
Coalgebraic approach to the Loday infinity category, stem differential for 2n-ary graded and homotopy algebras;
in Annales de l'Institut Fourier (2010), 60(1), 355--387
Equivariant quantization of orbifolds; ;
in Journal of Geometry and Physics (2010), 60(9), 1103--1111
2009
A first approximation for quantization of singular spaces; ;
in Journal of Geometry and Physics (2009), 59(4), 503--518
2008
Formal Poisson cohomology of twisted r-matrix induced structures;
in Israel Journal of Mathematics (2008), 165
Géométrie des courbes et des surfaces moyennant la théorie des repères mobiles d'Élie Cartan;
Learning material (2008)
Dequantized differential operators between tensor densities as modules over the Lie algebra of contact vector fields; ;
E-print/Working paper (2008)
Decomposition of symmetric tensor fields in the presence of a flat contact projective structure; ;
in Journal of Nonlinear Mathematical Physics (2008), 15(2), 252--269
Proceedings of the 8th Conference on Geometry and Topology of Manifolds; ;
Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2008)
2007
On a general approach to the formal cohomology of quadratic Poisson structures;
in Journal of Pure and Applied Algebra (2007), 208(3), 887--904
2006
2005
Derivations of the Lie algebras of differential operators;
in Indagationes Mathematicae (2005), 16(2), 181--200
Proceedings of the 4th Conference on Poisson Geometry 2004 Travaux mathématiques, Vol. XVI; ;
Book published by University of Luxembourg (2005)
On the Chevalley-Eilenberg cohomology of some infinite-dimensional algebras of geometric originScientific Conference (2005)
2004
Automorphisms of quantum and classical Poisson algebras;
in Compositio Mathematica (2004), 140(2), 511-527
Lie algebraic characterization of manifolds;
in Central European Journal of Mathematics (2004), 2(5), 811--825
Equivariant operators between some modules of the Lie algebra of vector fieldsin Communications in Algebra (2004), 32(7), 2559--2572
2003
Proceedings of the Conference on Harmonic Analysis 2002; ; ;
Book published by Faculty of Science, Technology and Communication, University of Luxembourg (2003)
2002
Equivariant symbol calculus for differential operators acting on forms; ; ;
in Letters in Mathematical Physics (2002), 62(3), 219-232
2001
Premiers espaces de la cohomologie de l'algèbre de Lie graduée de Nijenhuis-Richardson de l'espace des fonctions d'une variétéin Bulletin of the Belgian Mathematical Society Simon Stevin (2001), 8(1), 141-146
On the cohomology of the Nijenhuis-Richardson graded Lie algebra of the space of functions of a manifoldin Journal of Algebra (2001), 243(1), 16-40
2000
1999
Cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Comptes Rendus de l'Académie des Sciences. Série I. Mathématique (1999), 328(9), 789--794
1998
Cohomologie de Chevalley-Eilenberg de l'algèbre des opérateurs locaux sur l'espace des fonctions d'une variétéin Travaux Mathématiques (1998), X
Troisième espace de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 339--393
Premier et deuxième espaces de cohomologie de l'algèbre de Lie des opérateurs différentiels sur une variété à coefficients dans les fonctionsin Bulletin de la Société Royale des Sciences de Liège (1998), 67(6), 291--337
1996
1983
1981
Problèmes aux limites C-infini bien posés pour les systèmes hyperboliques à coefficients constantsBachelor/master dissertation (1981)
