Publications and Prepublications
- F. Petit, P. Schapira and L. Waas, A property of the interleaving distance for sheaves, 2021
ArXiv version.
- F. Petit and P. Schapira, Thickening of the diagonal, interleaving distance and Fourier-Sato transform, 2020
ArXiv version.
- Q. Du, G. Biau, F. Petit and R. Porcher, Wasserstein Random Forests and Applications in Heterogeneous Treatment Effects, AISTATS 2021: 1729-1737, 2021
ArXiv version.
- D. Gepner and F. Petit, An integral representation theorem for DQ-modules, 2020
ArXiv version.
- N. Berkouk and F. Petit, Ephemeral persistence modules and distance comparison, Algebr. Geom. Topol. 21(1): 247-277 (2021).
ArXiv version.
- F. Petit, Holomorphic Frobenius actions for DQ-modules, 2018, (accepted in PRIMS)
ArXiv version.
- F. Petit, Tempered subanalytic topology on algebraic varieties, 2017,
ArXiv version.
- F. Petit, The Lefschetz-Lunts formula for deformation quantization
modules, Mathematische Zeitschrift 2012,
Doi:10.1007/s00209-012-1046-4.
ArXiv version.
- F. Petit, A Riemann-Roch Theorem for dg Algebras, Bulletin
de la SMF 141, fascicule 2 (2013), 197-223.
ArXiv
version.
Reports
- Quantization of spectral curves and DQ-modules,
Oberwolfach Reports , Volume 13, Issue 1, 2016, 432-433.
- The codimension-three conjecture for holonomic DQ-modules,
Oberwolfach Reports , , Volume 11, Issue 2, 2014, 1385-1387.
Thesis
Thesis
made under the supervision of Pierre Schapira and defended on
the 20th june 2012.
François Petit-Université de Paris