Peter Gothen


Publications

Preprints

  1. O. Garcia-Prada, P. B. Gothen and I. Mundet i Riera, Representations of surface groups in the real symplectic group, arXiv:0809.0576 [math.AG].
  2. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Deformations of maximal representations in Sp(4,R), arXiv:0903.5496 [math.AG].
  3. O. Garcia-Prada, P. B. Gothen and I. Mundet i Riera, The Hitchin-Kobayashi correspondence, Higgs pairs and surface group representations, arXiv:0909.4487 [math.AG].
  4. Indranil Biswas, Peter B. Gothen and Marina Logares, On moduli spaces of Hitchin pairs, arXiv:0912.4615 [math.AG].

Papers

  1. P. B. Gothen, The Betti Numbers of the Moduli Space of Rank 3 Higgs Bundles, International Journal of Mathematics 5 (1994), 861-875. Preprint version available in pdf, postscript and dvi formats.
  2. P. B. Gothen, Components of spaces of representations and stable triples, Topology 40 (2001), 823-850. arXiv:math.AG/9904114.
  3. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Representations of the fundamental group of a surface in PU(p,q) and holomorphic triples, C. R. Acad. Sci. Paris Sér. I Math. 333 (2001), 347-352. arXiv:math.AG/0107103.
  4. P. B. Gothen, Topology of U(2,1) representation spaces, Bull. London Math. Soc. 34 (2002), 729-738. arXiv:math.AG/0012074.
  5. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Surface group representations and U(p,q)-Higgs bundles, J. Diff. Geom. 64 (2003), 111-170. arXiv:math.AG/0211431.
  6. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Moduli spaces of holomorphic triples over compact Riemann surfaces, Math. Ann. 328 (2004), 299-351. arXiv:math.AG/0211428.
  7. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Representations of surface groups in the general linear group, Proceedings of the XII Fall Workshop on Geometry and Physics, Coimbra 2003, Publicaciones de la RSME 7 (2004), 83-94. arXiv:math.AG/0401064.
  8. P. B. Gothen and A. D. King, Homological algebra of twisted quiver bundles, J. London Math. Soc. 71 (2005), 85-99. arXiv:math.AG/0202033.
  9. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces, Geometriae Dedicata 122 (2006), 185-213 (Oostende Special Issue).arXiv:math.AG/0511415.
  10. S. B. Bradlow, O. García-Prada, and P. B. Gothen, What is a Higgs bundle?, Notices of the AMS 54, no. 8 (2007), 980-981.
  11. S. B. Bradlow, O. Garcia-Prada and P. B. Gothen, Homotopy groups of moduli spaces of representations, Topology 47 (2008), 203-224. arXiv:math.AG/0506444.
  12. S. B. S. D. Castro, S. F. Dakhlia, and P. B. Gothen, Direct Perturbations of Aggregate Excess Demand, Journal of Mathematical Economics, to appear. Preprint version available at SSRN: http://ssrn.com/abstract=1156098.

Monographs

  1. O. García-Prada, P. B. Gothen and V. Muñoz, Betti numbers of the moduli space of rank 3 parabolic Higgs bundles, Memoirs of the American Mathematical Society 187 (2007) no. 879, viii+80 pp. arXiv:math.AG/0411242.

Other Stuff


Networks and Projects


Seminars and Conferences



Teaching


Address

Departamento de Matemática
Faculdade de Ciências
Rua do Campo Alegre 687
4169-007 Porto
Portugal

E-mail: pbgothen (at) fc.up.pt
Phone: +351 220 402 144


Last modified: 09/03/2010