@article{TSG_2003-2004__22__103_0, author = {Anna Wienhard}, title = {A generalisation of {Teichm\"uller} space in the hermitian context}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {103--123}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {22}, year = {2003-2004}, doi = {10.5802/tsg.348}, zbl = {1070.32012}, mrnumber = {2136139}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.348/} }
TY - JOUR AU - Anna Wienhard TI - A generalisation of Teichmüller space in the hermitian context JO - Séminaire de théorie spectrale et géométrie PY - 2003-2004 SP - 103 EP - 123 VL - 22 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.348/ DO - 10.5802/tsg.348 LA - en ID - TSG_2003-2004__22__103_0 ER -
%0 Journal Article %A Anna Wienhard %T A generalisation of Teichmüller space in the hermitian context %J Séminaire de théorie spectrale et géométrie %D 2003-2004 %P 103-123 %V 22 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.348/ %R 10.5802/tsg.348 %G en %F TSG_2003-2004__22__103_0
Anna Wienhard. A generalisation of Teichmüller space in the hermitian context. Séminaire de théorie spectrale et géométrie, Volume 22 (2003-2004), pp. 103-123. doi : 10.5802/tsg.348. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.348/
[1] St. B. Bradlow, and O. Garcïa-Prada, and R B. Gothen, Surface group representations and U(p, q)-Higgs bundies, J. Differential Geom. 64-1 ( 2003), 111-170. | MR | Zbl
[2] M. Burger, A. Iozzi, and A. Wienhard, Maximal representations, in preparation.
[3] M. Burger, A. Iozzi, and A. Wienhard, Surface group representations with maximal Toledo invariant, C. R.Acad. Sci. Paris, Ser.I 336 ( 2003), 387-390. | MR | Zbl
[4] S. Choi and W. M. Goldman, Convex real projective structures on closed surfaces are closed, Proc. Amer. Math. Soc. 118-2 ( 1993), 657-661. | MR | Zbl
[5] J. L. Clerc and B. Ørsted, The Gromov norm of the Kohier class and the Maslov index, Asian J. Math 7 ( 2003), 269-296. | MR | Zbl
[6] A. Domic and D. Toledo, The Gromov norm of the Kohier class of symmetrie domains, Math. Ann. 276-3 ( 1987), 425-432. | MR | Zbl
[7] E.B. Dynkin, Semisimple subalgebras of semisimple lie algebras, Am. Math. Soc, Transl., II Ser., vol. 6, AMS, 1957, pp. 111-243. | Zbl
[8] W.M. Goldman, Discontinuous groups and the Euler class, Thesis, University of California at Berkeley, 1980.
[9] W.M. Goldman, Convex real projective structures on compact surfaces, J. Differential Geom. 31-3 ( 1990), 791-845. | MR | Zbl
[10] E B. Gothen, Components of spaces of representations and stable triples, Topology 40-4 ( 2001), 823-850. | MR | Zbl
[11] L. Hernàndez Lamoneda, Maximal representations of surface groups in bounded symmetrie domains, Trans. Amer. Math. Soc. 324 ( 1991), 405-420. | MR | Zbl
[12] N.J. Hitchin, Lie groups and Teichmüller space, Topology 31-3 ( 1992), 449-473. | MR | Zbl
[13] E. Labourie, Anosov flows, surface groups and curves in projective space, math.DG/0401230, 2003.
[14] J. Milnor, On the existence of a connection with curvature zero, Comment. Math. Helv. 32 ( 1958), 215-223. | MR | Zbl
[15] I. Satake, Algebraic structures of symmetrie domains, Kanô Memorial Lectures, vol. 4, Iwanami Snoten, Tokyo, 1980. | MR | Zbl
[16] D. Toledo, Representations of surface groups in complex hyperbolic space, J. Diff. Geom. 29-1 ( 1989), 125-133. | MR | Zbl
[17] Ë.B. Vinberg (ed.), Lie groups and Lie algebras, III, Encyclopaedia of Mathematical Sciences, vol. 41, Springer-Verlag, Berlin, 1994, Structure of Lie groups and Lie algebras, A translation of Current problems in mathematics. Fundamental directions. Vol 41 (Russian), Akad. Nauk SSSR, Vsesoyuz. Inst. Nauchn. i Tekhn. Inform., Moscow, 1990[MR91b:22001], Translation by V. Minachin [V V. Minakhin], Translation edited by A. L. Onishchik and È. B.Vinberg. | MR | Zbl
[18] A. Wienhard, Bounded cohomology and geometry, Ph. D. thesis, University Bonn, 2004. | MR | Zbl
[19] E.Z. Xia, The moduli of flat U (p, 1) structures on Riemann surfaces, preprint, 2001. | MR | Zbl
Cited by Sources: