Charlier, J. H. J., Petit, F., Ormazabal, G., State, R., & Hilger, J. (2019). Visualization of AE's Training on Credit Card Transactions with Persistent Homology. Proceedings of the International Workshop on Applications of Topological Data Analysis In conjunction with ECML PKDD 2019. Peer reviewed |
Berkouk, N., & Petit, F. (2019). Ephemeral persistence modules and distance comparison. (1). ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/39694. |
Petit, F. (2018). Quantization of spectral curves and DQ-modules. Journal of Noncommutative Geometry. doi:10.4171/JNCG/314 Peer Reviewed verified by ORBi |
Petit, F. (2018). Holomorphic Frobenius actions for DQ-modules. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/37491. |
Petit, F. (2017). The codimension-three conjecture for holonomic DQ-modules. Selecta Mathematica. New Series. doi:10.1007/s00029-017-0354-2 Peer Reviewed verified by ORBi |
Petit, F. (2017). Tempered subanalytic topology on algebraic varieties. (1). ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/34502. |
Petit, F. (November 2016). Cohomologically enriched categories and DQ-modules [Paper presentation]. Lens Topology and geometry 2016. |
Petit, F. (28 July 2016). Quantization of spectral curves and DQ-modules [Paper presentation]. Noncommutative Geometry and Higher Structures, Perugia, Italy. |
Petit, F. (13 April 2016). Une brêve introduction aux faisceaux pervers [Paper presentation]. ANR SAT, Montpellier, France. |
Petit, F. (2016). Quantization of spectral curves and DQ-modules. In Oberwolfach Reports (pp. 432-433). European Mathematical Society Publishing House. |
Petit, F. (2016). Quantization of spectral curves and DQ-modules [Paper presentation]. Topological Recursion and TQFTs, Oberwolfach, Germany. |
Petit, F. (2014). The Codimension-Three conjecture for holonomic DQ-modules. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/19310. |
Petit, F. (2014). Fourier-Mukai transform in the quantized setting. Advances in Mathematics, 256, 1-17. doi:10.1016/j.aim.2014.01.019 Peer Reviewed verified by ORBi |
Petit, F. (April 2013). The Lefschetz-Lunts formula for deformation quantization modules. Mathematische Zeitschrift, 273 (3-4), 1119-1138. doi:10.1007/s00209-012-1046-4 Peer Reviewed verified by ORBi |
Petit, F. (2013). A Riemann-Roch Theorem for dg Algebras. Bulletin de la Société Mathématique de France, 141 (2), 197-223. doi:10.24033/bsmf.2646 Peer Reviewed verified by ORBi |
Petit, F. (2012). DG Affinity of DQ-modules. International Mathematics Research Notices, (6), 1414-1438. doi:10.1093/imrn/rnr075 Peer Reviewed verified by ORBi |