Johannes Huebschmann

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1 Johannes Huebschmann Liste des publications (1) Avec R. Brown: Identities among relations. In: Low dimensional topology, ed. R. Brown and T. L. Thickstun, London Math. Soc. Lecture Note Series 48, pp , Cambridge Univ. Press, (2) Sur les premières différentielles de la suite spectrale cohomologique d une extension de groupes. C. R. Acad. Sci. Paris Série A 285 (1977), (3) Extensions de groupes et paires croisées. C. R. Acad. Sci. Paris Série A 285 (1977), (4) Cohomology theory of aspherical groups and of small cancellation groups. In: Homological group theory, Proceedings of a symposium, held at Durham in Sept. 1977, on Homological and combinatorial techniques in group theory, ed. C.T.C. Wall, London Math. Soc. Lecture Note Series 36, Cambridge Univ. Press, (5) Cohomology theory of aspherical groups and of small cancellation groups. J. of Pure and Applied Algebra 14 (1977), (6) Crossed n fold extensions of groups and cohomology. Comm. Math. Helv. 55 (1980), (7) The first k invariant, Quillen s space BG +, and the construction of Kan and Thurston. Comm. Math. Helv. 55 (1980), (8) The homotopy type of a combinatorially aspherical presentation. Math. Zeitschrift 173 (1980), (9) Automorphisms of group extensions and differentials in the Lyndon Hochschild Serre spectral sequence. J. of Algebra 72 (1981), (10) Group extensions, crossed pairs, and an eight term exact sequence. J. reine angew. Math. 321 (1981), (11) Aspherical 2 complexes and an unsettled problem of J.H.C. Whitehead. Math. Ann. 258 (1981), (12) Avec I. M. Chiswell et D. J. Collins: Aspherical group presentations. Math. Zeitschrift 178 (1981), (13) Avec D. J. Collins: Spherical diagrams and identities among relations. Math. Ann. 261 (1982), (14) Stem extensions of the infinite general linear group and large Steinberg groups. In: Algebraic K theory, Proceedings of a conference held at Oberwolfach, June 1980, Part I. Lecture Notes in Mathematics, vol 966, pp ; Berlin Heidelberg New York, Springer (15) Non planarity of planar groups with reflections. In: Festschrift in honor of R. Lyndon s 65-th birthday. Contemporary Mathematics 33 (1984), (16) The cohomology of FΨ q. The additive structure. J. of Pure and Applied Algebra 45 (1987), (17) The homotopy type of FΨ q. The complex and symplectic cases. In Proceedings of the AMS conference on Algebraic K theory in Boulder/Colorado 1983; Contemporary Mathematics 55 (1986), (18) Perturbation theory and small models for the chains of certain induced fibre spaces. Habilitationsschrift Universität Heidelberg 1984, Zbl

2 2 HUEBSCHMANN JOHANNES (19) Perturbation theory and free resolutions for nilpotent groups of class 2. J. of Algebra 126 (1989), (20) Cohomology of nilpotent groups of class 2. J. of Algebra 126 (1989), (21) The mod p cohomology rings of metacyclic groups. J. of Pure and Applied Algebra 60 (1989), (22) Change of rings and characteristic classes. Math. Proc. Cambr. Phil. Soc. 106 (1989), (23) Chern classes for metacyclic groups. Archiv für Mathematik 61 (1993), (24) Avec T. Kadeishvili: Small models for chain algebras. Math. Z. 207 (1991), (25) Cohomology of metacyclic groups. Trans. Amer. Math. Soc. 328 (1991), (26) Poisson cohomology and quantization. J. reine angew. Math. 408 (1990), (27) On the quantization of Poisson algebras. In: Symplectic geometry and mathematical physics, actes du colloque en l honneur de J.M. Souriau, P. Donato, C. Duval, J. Elhadad, G.M. Tuynman, eds., Progress in Mathematics vol. 99, pp ; Birkhäuser-Verlag, Boston Basel Berlin, (28) Cohomology of finitely generated abelian groups. L Enseignement Math. 37 (1991), (29) The singularities of Yang-Mills connections for bundles on a surface. I. The local model. Math. Zeitschrift 220 (1995), ; dg-ga/ (30) The singularities of Yang-Mills connections for bundles on a surface. II. The stratification. Math. Zeitschrift 221 (1996), 83 92; dg-ga/ (31) Poisson geometry of flat connections for SU(2)-bundles on surfaces. Math. Zeitschrift 221 (1996), ; hep-th/ (32) Holonomies of Yang-Mills connections for bundles on a surface with disconnected structure group. Math. Proc. Cambr. Phil. Soc. 116 (1994), (33) Avec L. Jeffrey: Group cohomology construction of symplectic forms on certain moduli spaces. Int. Math. Research Notices 1994, No. 6, (34) Poisson structures on certain moduli spaces for bundles on a surface. Ann. Inst. Fourier 45 (1995), 65 91; dg-ga/ (35) Symplectic and Poisson structures of certain moduli spaces. Duke Math. J. 80 (1995), ; hep-th/ (36) Symplectic and Poisson structures of certain moduli spaces. II. Projective representations of cocompact planar discrete groups, Duke Math. J. 80 (1995), ; dg-ga/ (37) Poisson geometry of certain moduli spaces for bundles on a surface. In: A translation of algebra, International Geometrical Colloquium, Moskau, 1993; Vseross. Inst. Nauchn. i. Tekhn. Inform. (VINITI) Moscou 1995, edited by E. I. Kuznetsova, J. Math. Sci. 82 (1996),

3 HUEBSCHMANN JOHANNES 3 (38) Poisson geometry of certain moduli spaces. Série d éxposés, 14ème école d hiver, Srni, République tchèque, Rendiconti del Circolo Matematico di Palermo, Serie II, 39 (1996), (39) On the Poisson geometry of certain moduli spaces. In: Proceedings of an international workshop on Lie theory and its applications in physics, Clausthal, 1995 H. D. Doebner, V. K. Dobrev, J. Hilgert, eds. World Scientific, Singapore New Jersey London Hong Kong 1996, pp (40) Smooth structures on certain moduli spaces for bundles on a surface. J. of Pure and Applied Algebra 126 (1998), ; dg-ga/ (41) Extensions of Lie-Rinehart algebras and the Chern-Weil construction. In: Festschrift in honor of J. Stasheff s 60-th birthday Cont. Math. 227 (1999), , Amer. Math. Soc., Providence R. I.; dg-ga/ (42) Avec K. Guruprasad, L. Jeffrey, et A. Weinstein: Group systems, groupoids, and moduli spaces of parabolic bundles. Duke Math. J. 89 (1997), ; dg-ga/ (43) Extended moduli spaces, the Kan construction, and lattice gauge theory. Topology 38 (1999), ; dg-ga/ ; dg-ga/ (44) Avec C. Berger: Comparison of the geometric bar and W-constructions. J. of Pure and Applied Algebra 131 (1998), (45) Lie-Rinehart algebras, Gerstenhaber algebras, and Batalin-Vilkovisky algebras. Annales de l Institut Fourier 48 (1998), ; dg-ga/ (46) Duality for Lie-Rinehart algebras and the modular class. J. reine angew. Math. 510 (1999), ; dg-ga/ (47) Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras. Banach center publications 51 (2000), (48) On the variation of the Poisson structures of certain moduli spaces. Mathematische Annalen 319 (2001), ; dg-ga/ (49) Berikashvili s functor D and the deformation equation. In: Festschrift in honor of N. Berikashvili s 70-th birthday, Proceedings of A. Razmadze Institute 119 (1999), 59 72; math.at/ (50) Singularities and Poisson geometry of certain representation spaces. In: Quantization of singular symplectic quotients. Oberwolfach workshop 1999, N. Landsman et al, eds., Progress in Mathematics vol. 198, pp , Birkhäuser-Verlag, Boston Basel Berlin, 2001; math.dg/ (51) Avec J. Stasheff: Formal solution of the master equation via HPT and deformation theory. Forum mathematicum 14 (2002), , math.ag/ (52) Kähler spaces, nilpotent orbits, and singular reduction. Memoirs AMS 172/814 (2004), Amer. Math. Society, Providence, R. I., math.dg/ (53) Kähler quantization and reduction. J. reine angew. Math. 591 (2006), , math.sg/ (54) Singular Poisson-Kähler geometry of Scorza varieties and their secant varieties. Differential Geometry and its Applications 23 (2005), 79 93, math.dg/ (55) Lie-Rinehart algebras, descent, and quantization. In: Galois theory, Hopf algebras, and semiabelian categories, Fields Institute Communications 43 (2004), , Amer.Math. Society, Providence, R. I., math.sg/

4 4 HUEBSCHMANN JOHANNES (56) On the cohomology of the holomorph of a finite cyclic group. J. of Algebra 279 (2004), 79-90, math.gr/ (57) Higher homotopies and Maurer-Cartan algebras: quasi-lie-rinehart, Gerstenhaber-, and Batalin-Vilkovisky algebras. In: The Breadth of Symplectic and Poisson Geometry, Festschrift in Honor of Alan Weinstein, J. Marsden and T. Ratiu, eds., Progress in Mathematics vol. 232, 2004, pp , Birkhäuser-Verlag, Boston Basel Berlin, 2005, math.dg/ (58) Minimal free multi models for chain algebras. Georgian Math. J. 11 (2004), , math.at/ (59) Quantization in the presence of singularities. In: Quantum Theory and Symmetries IV, V.K. Dobrev, ed., Heron Press, Sofia 2006, pp , math-ph/ (60) Singular Poisson-Kähler geometry of certain adjoint quotients. In: Proceedings, The mathematical legacy of C. Ehresmann, Bedlewo, 2005, Banach Center Publications 76 (2007), , math.sg/ (61) Stratified Kähler structures on adjoint quotients. Differential Geometry and its Applications 26 (2008), , math.dg/ (62) Kirillov s character formula, the holomorphic Peter-Weyl theorem and the Blattner-Kostant-Sternberg pairing. J. Geometry and Physics 58 (2008), ; math.dg/ (63) Avec G. Rudolph and M. Schmidt: A gauge model for quantum mechanics on a stratified space. Commun. Math. Physics 286 (2009), , hep-th/ (64) Origins and breadth of the theory of higher homotopies. In: Festschrift in honor of M. Gerstenhaber s 80-th and Jim Stasheff s 70-th birthday, Progress in Math. vol. 287, pp , Birkhäuser-Verlag, Boston Basel Berlin, 2010, arxiv: [math.at] (65) The Lie algebra perturbation lemma. In: Festschrift in honor of M. Gerstenhaber s 80-th and Jim Stasheff s 70-th birthday, Progress in Math. vol. 287, pp , Birkhäuser-Verlag, Boston Basel Berlin, 2010, arxiv: [math.ag] (66) The sh-lie algebra perturbation lemma. Forum math. 23 (2011), , arxiv: [math.ag] (67) Avec Gerd Rudolph and M. Schmidt: A tunneling effect in singular quantum mechanics. In: Varna 2007: Lie Theory and its Applications in Physics VII, ed. V.K. Dobrev et al, Heron Press, pp (68) Homological perturbations, equivariant cohomology, and Koszul duality, math.at/ (69) On the construction of A-infinity structures, Festschrift in honor of T. Kadeishvili s 60-th birthday, Georgian J. Math. 17 (2010), , arxiv: [math.ag] (70) Equivariant cohomology over groupoids and Lie-Rinehart algebras, Letters in Mathematical Physics 90 (2009), , arxiv: [math.dg] (71) Braids and crossed modules, J. of Group Theory 15 (2012), 57-83, arxiv: [math.ag] (72) Singular Poisson-Kähler geometry of stratified Kähler spaces and quantization. Lecture Notes, International School on Geometry and Quantization,

5 HUEBSCHMANN JOHANNES 5 University of Luxembourg, August 31 until September 5, 2009, Travaux mathématiques 19 (2011), 27 63, arxiv: (73) Lax, Peter D.; Hirzebruch, Friedrich; Mazur, Barry; Conlon, Lawrence; Curtis, Edward B.; Edwards, Harold M.; Huebschmann, Johannes; Shulman, Herbert: Raoul Bott as we knew him. Kotiuga, P. Robert (ed.), A celebration of the mathematical legacy of Raoul Bott. Based on the conference, CRM, Montreal, Canada, June 913, Providence, RI: American Mathematical Society (AMS) (ISBN /pbk). CRM Proceedings and Lecture Notes 50, (2010). (74) Deux articles sur la théorie de Yang-Mills pour Kluwer s Encyclopedia of Mathematics (75) Twilled Lie-Rinehart algebras and differential Batalin-Vilkovisky algebras, math.dg/ (76) Relative homological algebra, homological perturbations, equivariant de Rham cohomology, and Koszul duality, math.dg/ (77) Slices for lifted tangent and cotangent actions, math.sg/ (78) Avec M. Perlmutter and T. Ratiu: Extensions of Lie-Rinehart algebras and cotangent bundle reduction, expanded version of arxiv: [math.sg] (79) The universal Hopf algebra associated with a Hopf-Lie-Rinehart algebra, arxiv: [math.sg] (80) Line bundles on moduli and related spaces, arxiv: [math.at]

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