Jean-Claude HAUSMANN

Section de Mathématiques
Université de Genève
2-4, rue du Lièvre
C.P. 64
CH 1211 GENÈVE 4, SWITZERLAND

email: Jean-Claude.Hausmann AT unige.ch
Tél: (4122) 379 1158
Fax: (4122) 379 1176
 

  • Some papers (with some ps or pdf files)
  • Lecture Notes and slides (ps or pdf files)

  • Some Papers :

  • (with Ian Hambleton) Conjugation spaces and 4-manifolds. arXiv:0906.5057v1 [math.GT] .
  • (with Michael Farber and Dirk Schütz) On the cohomology ring of chains in Rd. arXiv: arXiv:0903.0472v1 [math.AT].
  • (with Tara Holm) Conjugation spaces and edges of compatible torus actions. arXiv: 0807.3289v1 [math.AT] . To appear in the proceedings of the conference in honour of H. Dustermaat.
  • (with Michael Farber and Dirk Schütz) On the conjecture of Kevin Walker. arXiv:0708.2995v1 [math.AT]. Journal of Topology and Analysis Vol. 1 (2009) 65-86.
  • (with Ian Hambleton) Equivariant Bundles and Isotropy Representations. Revisited June 2009. arXiv:0704.2763v2 [math.GT] . To appear in Groups, Geometry, and Dynamics
  • Geometric descriptions of polygon and chain spaces. math.GT/0702521. In Topology and Robotics, American Math. Soc. Contemporary Mathematics 438 (2007) 47-57.
  • (with Eugenio Rodriguez) Holonomy orbits of the snake charmer algorithm. math.DG/0603620. In "Geometry and Topology of Manifolds", procedings of the conference held in Bedlewo in the honor of the 100-year birthday of Ch. Ehresmann. Banach Center Publications, Vol. 76 (2007) 207-219. pdf file.
  • (with Tara Holm and Volker Puppe) Conjugation spaces. Algebraic and Geometric Topology 5 (2005), paper no. 39, 923-964. .
  • Contrôle des bras articulés et transformations de Möbius. L'Enseignement Mathématique . 51 (2005) 87-115. This work has been continued by my student Eugenio Rodriguez in his thesis: L'algorithme du charmeur de serpents
  • (with Eugenio Rodriguez) The space of clouds in an Euclidean space. Experimental Mathematics. 13:1 (2004) 31-47 pdf file. - additional material (tables, etc)
  • (with Susan Tolman) Maximal Hamiltonian tori for polygon spaces. ps file Annales de l'Institut Fourier 53,6 (2003), 1925-1939
  • (with Ian Hambleton) Equivariant principal bundles over spheres and cohomogeneity one manifolds. Proc. of London Math. Soc. (3) 86 (2003), 250-272 pdf-file
  • Théorie de jauge et groupoïdes. Fundamenta Mathematicae 171 (2002) 1-30. ps file
  • (with Allen Knutson) A limit of toric symplectic forms that has no periodic Hamiltonians. GAFA 10 (2000) 556-562. ps file
  • (with Allen Knutson) Cohomology rings of symplectic cuts. Differential Geometry and its Applications 11 (1999), no. 2, 197--203. ps file
  • (with Allen Knutson) The cohomology ring of polygon spaces. Annales de l'Institut Fourier 48 (1998) 281--321. ps file
  • (with Allen Knutson) Polygon spaces and Grassmannians. L'Enseignement Mathématique 43 (1997), 173--198. ps file
  • On the minimal covering in the sense of Lusternick-Schnirelmann for spaces and manifolds. Proceedings Athens 1994, American Math. Soc./IP Studies in Adv. Math. 2 (1997).
  • On the Vietoris-Rips complexes and a cohomology theory for metric spaces. Prospects in topology (Princeton, NJ, 1994), 175--188, Ann. of Math. Stud., 138, Princeton Univ. Press, Princeton, NJ, 1995.
  • (With Pierre Vogel) Geometry on Poincaré spaces. Princeton University Press, Princeton, NJ, 1993.
  • (With Didier Brandt) Théorie de jauge et symétries des fibrés. Ann. Inst. Fourier (Grenoble) 43 (1993), no. 2, 509--537.
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    Notes de Cours (Lecture notes) :

  • Polygon spaces and their cohomology rings. Lecture at Cornell University, (Nov. 30, 2007). pdf file.
  • Transparents du colloque du 14.4.05 sur la torsion de Whitehead et la topologie différentielle. file
  • Géométrie des distances et analyse en composante principales (Printemps 2000). ps file.
  • Variétés hamiltonniennes. Notes (1997). ps file.
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