Claude Viterbo

Publications and preprints, 1985–2026. Where the journal version is not freely accessible, an arXiv or EuDML link is given.

Preprints4

  1. Density of fibers for the filtered Fukaya category of T*N with Stéphane Guillermou and Bingyu Zhang Preprint arXiv:2602.21759pdf
  2. Inverse reduction inequalities for spectral numbers and applications Claude Viterbo Preprint arXiv:2203.13172pdf
  3. Sheaf quantization of Lagrangians and Floer cohomology Claude Viterbo Preprint arXiv:1901.09440pdf
  4. Functors and computations in Floer homology with applications, Part II Claude Viterbo Preprint (written 1996, revised 2003) arXiv:1805.01316pdf

2020–202610

  1. On the supports in the Humilière completion and γ-coisotropic sets Claude Viterbo Compositio Mathematica 162 (2026), 1439–1486 journalarXiv:2204.04133
  2. Higher dimensional Birkhoff attractors (with an appendix by Maxime Zavidovique) with Marie-Claude Arnaud and Vincent Humilière Journal de l'École Polytechnique – Mathématiques 13 (2026), 759–808 journalarXiv:2404.00804
  3. Regular Lagrangians are smooth Lagrangians with Tomohiro Asano, Stéphane Guillermou and Yuichi Ike Journal of the Mathematical Society of Japan 78 (2026), 37–54 journalarXiv:2407.00395
  4. Non-convex Mather's theory and the Conley conjecture on the cotangent bundle of the torus Claude Viterbo Journal of Modern Dynamics 21 (2025), 719–753 journalarXiv:1807.09461
  5. Stochastic homogenization for variational solutions of Hamilton–Jacobi equations Claude Viterbo Analysis & PDE 18 (2025), 805–856 journalarXiv:2105.04445
  6. Bar codes of persistent cohomology and Arrhenius law for p-forms with Dorian Le Peutrec and Francis Nier Astérisque 450, Société Mathématique de France, 2024 journalarXiv:2002.06949
  7. The singular support of sheaves is γ-coisotropic with Stéphane Guillermou Geometric and Functional Analysis 34 (2024), 1052–1113 journalarXiv:2203.12977
  8. The γ-support as a micro-support with Tomohiro Asano, Stéphane Guillermou, Vincent Humilière and Yuichi Ike Comptes Rendus Mathématique 361 (2023), 1333–1340 journalarXiv:2211.13945
  9. Symplectic homogenization Claude Viterbo Journal de l'École Polytechnique – Mathématiques 10 (2023), 67–140 journalarXiv:0801.0206
  10. Barcodes and area-preserving homeomorphisms with Frédéric Le Roux and Sobhan Seyfaddini Geometry & Topology 25 (2021), 2713–2825 journalarXiv:1810.03139

2010–20195

  1. Appendix to: Laure Saint-Raymond and Mark Wilkinson, On collision invariants for linear scattering Claude Viterbo Communications on Pure and Applied Mathematics 71 (2018), 1494–1534 no link yet
  2. Precise Arrhenius law for p-forms: the Witten Laplacian and Morse–Barannikov complex with Dorian Le Peutrec and Francis Nier Annales Henri Poincaré 14 (2013), 567–610 journalarXiv:1105.6007
  3. On the topology of fillings of contact manifolds and applications with Alexandru Oancea Commentarii Mathematici Helvetici 87 (2012), 41–69 journalarXiv:0905.1278
  4. Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms with Alfonso Sorrentino Geometry & Topology 14 (2010), 2383–2403 journalarXiv:1002.3915
  5. Symplectic topology and measure preserving dynamical systems (Snowbird, 2007) with Albert Fathi and Yong-Geun Oh Contemporary Mathematics 512, American Mathematical Society, 2010 (edited with Albert Fathi and Yong-Geun Oh) journal

2000–20096

  1. Commuting Hamiltonians and Hamilton–Jacobi multi-time equations with Franco Cardin Duke Mathematical Journal 144 (2008), 235–284 journalarXiv:math/0507418
  2. On the uniqueness of generating Hamiltonian for continuous limits of Hamiltonian flows Claude Viterbo International Mathematics Research Notices 2006, article 34028 (erratum: no. 23, article 38784) journalarXiv:math/0509179
  3. Symplectic topology and Hamilton–Jacobi equations Claude Viterbo In: Morse theoretic methods in nonlinear analysis and in symplectic topology (NATO ASI, Montréal 2004), Springer, 2006, pp. 439–459 zbMATH
  4. Estimates of characteristic numbers of real algebraic varieties with Yves Laszlo Topology 45 (2006), 261–280 journalarXiv:math/0412250
  5. Nicole Desolneux-Moulis with Christine Charreton Femmes & Math 5 (2000), 27–28 zbMATH
  6. Metric and isoperimetric problems in symplectic geometry Claude Viterbo Journal of the American Mathematical Society 13 (2000), 411–431 journal

1990–199918

  1. Functors and computations in Floer homology with applications, I Claude Viterbo Geometric and Functional Analysis 9 (1999), 985–1033 journalno free version found
  2. Exact Lagrange submanifolds, periodic orbits and the cohomology of free loop spaces Claude Viterbo Journal of Differential Geometry 47 (1997), 420–468 journalno free version found
  3. Some remarks on Massey products, tied cohomology classes, and the Lusternik–Shnirelman category Claude Viterbo Duke Mathematical Journal 86 (1997), 547–564 journalno free version found
  4. Solutions of Hamilton–Jacobi equations and symplectic geometry Claude Viterbo Séminaire Équations aux dérivées partielles, École polytechnique, 1995–96, exposé XXI EuDML (free)
  5. Generating functions, symplectic geometry, and applications Claude Viterbo In: Proceedings of the ICM 1994, Zürich, vol. I, Birkhäuser, 1995, pp. 537–547 zbMATH
  6. The cup-product on the Thom–Smale–Witten complex, and Floer cohomology Claude Viterbo In: The Floer memorial volume, Birkhäuser, 1995, pp. 609–625 zbMATH
  7. Symplectic topology: An introduction Claude Viterbo In: Topological nonlinear analysis (Frascati, 1993), Birkhäuser, 1995, pp. 514–531 zbMATH
  8. Properties of embedded Lagrange manifolds Claude Viterbo In: First European Congress of Mathematics (Paris, 1992), vol. II, Birkhäuser, 1994, pp. 463–474 zbMATH
  9. Periodic orbits in the three-body problem Claude Viterbo Séminaire Bourbaki 1992/93, exposé 774, Astérisque 216 (1993), pp. 377–393 EuDML (free)
  10. An introduction to symplectic topology Claude Viterbo Gazette des Mathématiciens 54 (1992), 81–96 zbMATH
  11. Symplectic topology as the geometry of generating functions Claude Viterbo Mathematische Annalen 292 (1992), 685–710 journalEuDML (free)
  12. The Weinstein conjecture in the presence of holomorphic spheres with Helmut Hofer Communications on Pure and Applied Mathematics 45 (1992), 583–622 journalno free version found
  13. An introduction to symplectic topology Claude Viterbo Journées Équations aux dérivées partielles, Saint-Jean-de-Monts 1991, exposé II EuDML (free)
  14. A new obstruction to embedding Lagrangian tori Claude Viterbo Inventiones Mathematicae 100 (1990), 301–320 journalEuDML (free)
  15. Une infinité de tores lagrangiens distincts ayant mêmes « invariants classiques » Claude Viterbo Comptes Rendus de l'Académie des Sciences, Série I 311 (1990), 727–729 zbMATH
  16. Plongements lagrangiens et capacités symplectiques de tores dans ℝ2n Claude Viterbo Comptes Rendus de l'Académie des Sciences, Série I 311 (1990), 487–490 zbMATH
  17. Recent progress in periodic orbits of autonomous Hamiltonian systems and applications to symplectic geometry Claude Viterbo In: Nonlinear functional analysis (Newark, 1987), Lect. Notes Pure Appl. Math. 121, Dekker, 1990, pp. 227–250 zbMATH
  18. The Weinstein conjecture in P × ℂℓ with Andreas Floer and Helmut Hofer Mathematische Zeitschrift 203 (1990), 469–482 journalEuDML (free)

1985–19898

  1. Capacités symplectiques et applications (d'après Ekeland–Hofer, Gromov) Claude Viterbo Séminaire Bourbaki 1988/89, exposé 714, Astérisque 177–178 (1989) EuDML (free)
  2. Equivariant Morse theory for starshaped Hamiltonian systems Claude Viterbo Transactions of the American Mathematical Society 311 (1989), 621–655 journal
  3. The Weinstein conjecture in cotangent bundles and related results with Helmut Hofer Annali della Scuola Normale Superiore di Pisa 15 (1988), 411–445 EuDML (free)
  4. Indice de Morse des points critiques obtenus par minimax Claude Viterbo Annales de l'Institut Henri Poincaré, Analyse non linéaire 5 (1988), 221–225 journalEuDML (free)
  5. Intersection de sous-variétés lagrangiennes, fonctionnelles d'action et indice des systèmes hamiltoniens Claude Viterbo Bulletin de la Société Mathématique de France 115 (1987), 361–390 journalEuDML (free)
  6. A proof of Weinstein's conjecture in ℝ2n Claude Viterbo Annales de l'Institut Henri Poincaré, Analyse non linéaire 4 (1987), 337–356 journalEuDML (free)
  7. Une théorie de Morse pour les systèmes hamiltoniens étoilés Claude Viterbo Comptes Rendus de l'Académie des Sciences, Série I 301 (1985), 487–489 zbMATH
  8. Lagrangian embeddings and symplectic structures Claude Viterbo Journées Raymond Couty de géométrie différentielle (Limoges, October 1984), Université de Limoges, 1985 pdf

Theses and unpublished notes4

  1. Symplectic real algebraic geometry Claude Viterbo Unpublished notes no link yet
  2. Solutions d'équations d'Hamilton–Jacobi et géométrie symplectique with Andrea Ottolenghi Preprint, 1995 no link yet
  3. Systèmes hamiltoniens et topologie symplectique Claude Viterbo Rapport d'habilitation, Université Paris IX, June 1989 no link yet
  4. Une théorie de Morse pour les systèmes hamiltoniens étoilés Claude Viterbo Thèse de troisième cycle, Université Paris IX, 1985 pdf