DocRenJuin2013

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3ème Rencontre

Géométrie,Topologie et Physique Mathématique

Rabat, 6-8 Juin 2013

Documentation

• Opérades
• Cours: http://math.unice.fr/~brunov/Operads.pdf .
• Article de synthèse : http://arxiv.org/pdf/1202.3245v1.pdf
• Feuilles d'exercices: Séries 1 | Série 2 | Série 3
• TQFT
• M; Atiyah: The Geometry and physics of knots, http://www.maths.ed.ac.uk/~aar/papers/mfaknot.pdf
• C. Blanchet, Introduction to quantum invariants of 3-manifolds, topological quantum field theories and modular categories. Cardona, Alexander (ed.) et al., Proceedings of the summer school on geometric and topological methods for quantum field theory, Villa de Leyva, Colombia, July 9-27, 2001. River Edge, NJ: World Scientific. 228-264 (2003)
  http://www.math.jussieu.fr/~blanchet/Villa_de_Leyva/Intro_TQFT.ps
• Topolgical Robotics
• O. Cornea, G. Lupton, J. Oprea, D. Tanré, Lusternik-Schnirelmann category. Math. Surveys Monogr. 103, AMS, 2003.
• M. Farber, Invitation to Topological Robotics, EMS (2008).
• M. Farber, Topology of robot motion planning , in : Morse Theoretic
  Methods in Nonlinear Analysis and in Symplectic Topology (P. Biran et al (eds.)) (2006), 185–230.
• J.-C. Latombe, Robot Motion Planning, Kluwer (1991).
• M. Farber, Topological complexity of motion planning, Discrete
  Comput. Geom. 29 (2003), 211–221.
• M. Farber, Instabilities of robot motion, Topology Appl. 140 (2004),
  245–266.
• A.S. Schwarz, The genus of a fiber space. Amer. Math. Soc. Transl. 55 (1966), 49-140.
  
• Physique Mathématique
• Exposé Adil Belhaj: http://arxiv.org/pdf/0808.2957.pdf