Pierre Vogel (mathematician)

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Pierre Vogel (born January 19, 1945 in Toul ) is a French mathematician .

Career

In 1972 he received his doctorate from the University of Paris-Süd in Orsay under Valentin Poénaru ( Variétés multiples d'une immersion générique et cobordisme d'immersions ). He then moved to the University of Nantes , where he received a professorship in 1982. From 1991 until his retirement in 2013 he was a professor at the Université Paris Diderot . His research area is topology , especially knot theory .

Publications

  • Cobordisme d'immersions. Ann. Sci. ENS 4 e series , t. 7, № 3 (1974) pp. 317-358.
  • Λ-sphères. (with J. Barge, J. Lannes , F. Latour), CRAS 278 (1973) pp. 133-135.
  • Λ-sphères. (with J. Barge, J. Lannes, F. Latour), Ann. Sci. ENS 4 e series , t. 7, № 4 (1974) pp. 463-506.
  • Un théorème de Hurewicz homologique. Comment. Math. Helv. 52 (1977) pp. 393-413.
  • Torsion de Whitehead généralisée. CRAS 290 (1980) pp. 491-493.
  • Localization non commutative de formes quadratiques. Algebraic K-theory, Lecture Notes in Math. 967 (1980) pp. 376-389.
  • On the obstruction group in homology surgery. Publ. Math. IHES. 55 (1982) pp. 165-206.
  • On Steenrod's problem for non-abelian finite groups. Algebraic Topology Aarhus, 1982, Lecture Notes in Math. Springer-Verlag, Berlin (1984) pp. 660-665.
  • A solution of the Steenrod problem for G-Moore spaces. K-theory Journal. 1 (1987) pp. 325-335.
  • Asymetric four-dimensional manifolds. (with S. Kwasik). Duke Math. Journal 53 № 3 (1986) pp. 759-764.
  • Non locally smoothable topological symmetries of four manifolds. (with S. Kwasik). Duke Math. Journal 53, No. 3 (1986) pp. 765-770.
  • Action of finite groups on compact manifolds. (with A. Assadi). Topology 26 № 2 (1987) pp. 239-263.
  • Geometry of Poincaré spaces. (with J.-C. Hausmann). Mathematical Notes 41 Princeton University Press (1993).
  • 2 × 2 matrices and application to link theory. Proceedings Göttingen 1987. Lecture Notes in Math. 1361 Springer Verlag. (1988) pp. 269-298.
  • Représentations et traces des algèbres de Hecke. Polynôme de Jones-Conway. L'Enseignement Math. 34 (1988), pp. 333-356.
  • Manifold categories of Poincaré spaces. (with J.-C. Hausmann) Proceedings Siegen 1987. Lecture Notes in Math. 1350. Springer Verlag (1988) pp. 241-258.
  • On complements of codimension-3 embeddings in S n . (with S. Ferry, E. Pederson). Topology and its Application 31 (1989), pp. 197-202.
  • Representation of links by braids. A new algorithm. Comm. Math. Helv. 65 (1990), pp. 104-113.
  • Representations of symmetric groups. (with R. Oliver) preprint.
  • Representations of link groups. Knot 90. Walter de Gruyter 1992 pp. 381-387.
  • The Cohn localization of the free group ring. (with M. Farber). Math. Proc. of Cambridge Phil. Soc., 111 (1992) pp. 433-443.
  • Link polynomials and graphical calculus. (with L. Kauffman ). J. of Knot theory and its ramfications. 1-1 (1992) pp. 59-104.
  • Three-manifold invariants derived from the Kauffman bracket. (with C. Blanchet, N. Habegger, G. Masbaum). Topology, 31 (1992) pp. 685-699.
  • Invariants de Vassiliev des nœuds. Astérisque, 216 (1993) pp. 213-232.
  • Remarks on the three-manifold invariant θ p . (with C. Blanchet, N. Habegger, G. Masbaum). NATO Advanced Research Workshop and Conference on operator algebra, mathematical physics and low dimensional topology. Research Notes in Math. № 5 (1993) pp. 39-59.
  • 3-valent graph and the Kauffman bracket. (with G. Masbaum). Pacific Journal of Math. 164 № 2 (1994) pp. 361-381.
  • Verlinde formula for surfaces with spin structure. (with G. Masbaum). Contemporary Mathematics 194 (1994) pp. 119-137.
  • Topological Quantum Field Theories derived from the Kauffman bracket. (with C. Blanchet, N. Habegger, G. Masbaum). Topology, 34 (1995) pp. 883-927.
  • Les invariants récents des variétés de dimension 3. Astérisque 237 (1996) pp. 225-250.
  • Espaces de Modules des Courbes, Groupe Modulaire et Théorie des Champs. (with X. Buff , J. Fehrenbach, P. Lochak, L. Schneps ). Panoramas et Synthèse 7 (1998).
  • Vassiliev Theory. MaPhySto (Aarhus University) Lecture Notes 6 (2000).
  • Invariants de type fini. Panoramas et Synthèses 11 (2001) pp. 99-128.
  • Algebraic structures on modules of diagrams. J. Pure Appl. Alg. 215 (2011), pp. 1292-1339.
  • Functoriality of Khovanov homology. arXiv: 1505.04545 (2015).
  • Cohn localization of finite group rings. arXiv: 1509.06990 [math.AT] (2015).

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project: Pierre Vogel
  2. ↑ Pierre Vogel: Curriculum vitae
personal data
SURNAME Vogel, Pierre
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH January 19, 1945
PLACE OF BIRTH Toul