Publications et prepublications (de recherche)

Tilmann Wurzbacher













    (1)    Holomorphic group actions with many compact orbits, Comment.Math.Helvetici 64
              (1989), 639 - 649 (with Christoph Gellhaus).

    (2)     Multiplizitaetsfreie symplektische Wirkungen und sphaerische komplexe Raeume,
              PhD-Thesis, Bochum (FRG) 1989.

    (3)     Multiplicity-free complex manifolds, Math.Ann. 286 (1990), 261 - 280
              (with  Alan T.Huckleberry).

    (4)      On a conjecture of Guillemin and Sternberg in geometric quantization of multiplicity-
               free symplectic spaces, Journal of Geometry and Physics 7 (1990), 537 - 552.

    (5)      Symplectic techniques in holomorphic group actions dans: Complex Analysis,
               Proceedings of the International Workshop Wuppertal 1990, Vieweg Verlag,
               Braunschweig (1991).

    (6)       The Albanese mapping for compact almost  complex manifolds, Math.Zeitschrift
                210 (1992), 339 - 346 (with Christoph Gellhaus). (preprint version)

    (7)       Symplectic geometry of the loop space of a Riemannian Manifold, Journal of
               Geometry and Physics 16 (1995), 345-384. (preprint version)

    (8)       The Pfaffian line bundle and the Spin$^{C}$-group in infinite dimensions
               via  states  on C*-algebras , Proceedings of the Workshop on ``Lie theory and its
               applications in physics", Clausthal (R.F.A.) , 14-17/8/1995, Editors H-D Doebner,
               J Hilgert and V K Dobrev, World Scientific Singapore (1996), 43-52,
               (preprint version)

     (9)     Quantization of integrable systems and Bohr-Sommerfeld varieties,
                 Preliminary version 1996, 8 pages.

    (10)      An Ito type isometry for loops in ${R^d}$ via the Brownian bridge,
                Seminaire de Probabilites XXXI, Lecture Notes in Mathematics 1655,
                Springer 1997, 225-231 (with Pierre Gosselin).

    (11)      A stochastic approach to the Virasoro anomaly in quantization of strings in flat space,
                 Proceedings of the Steklov Mathematical Institute, vol. 217 (1997), 230--252
                 (with Pierre Gosselin).

    (12)     Determinants, Pfaffians, and quasi-free Representations of the CAR-algebra,
                Reviews in Mathematical Physics 10 (1998), no. 5, 705--721 (with Mauro Spera).

    (13)     Actions de groupes de Lie sur des varietes symplectiques et complexes en dimension
                finie et infinie, Synthese de l'activite scientifique et programme de recherche pour le
                dossier de candidature a l'habilitation a diriger des recherches, 1998, 42 pages.
                (resume only)

    (14)      Differential geometry of Grassmannian embeddings of based loop groups,
                 Differential geometry and its applications 13 (2000), 43--75 (with Mauro Spera).

    (15)     Fermionic second quantization and the geometry of the restricted Grassmannian,
                in: ``Infinite-dimensional Kaehler manifolds", Ed. by Alan Huckleberry
                and Tilmann Wurzbacher, Birkhaeuser series on DMV-Seminars, Birkhaeuser,
                Basel  (2001).

     (16)    Holomorphic group actions with few compact orbits,  Annales de la Faculte des
                Sciences de Toulouse  Vol. X, no. 2 (2001), 293--298  (with Christoph Gellhaus).

     (17)    The Dirac-Ramond operator on loops in flat space,  Journal of Functional Analysis
                197 (2002), 110--139 (with  Mauro Spera).

      (18)    An elementary proof of the homotopy equivalence between the restricted general linear
                  group and the space of Fredholm operators ,   Analysis, geometry and topology of elliptic 
                 operators,
411--426, World Sci. Publ., Hackensack, NJ, 2006.

      (19)    Twistor spaces and spinors over loop spaces ,   Math. Ann. 338 (2007), no. 4, 801--843.        
                 (with Mauro Spera)

      (20)    Fuzzy complex Grassmannians and quantization of complex line bundles, to appear in            
                  Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg, 2009              
                  (with Majdi Ben Halima)

      (21)     Good coverings for section spaces of fibre bundles , submitted (with Mauro Spera) 

      (22)     Geometry and quantization of symplectic Howe pairs , submitted (with Carsten Balleier)

         


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                                            Last update:  April, 2009.