Peter Gothen

2018
Aparicio-Arroyo M, Bradlow SB, Collier B, García-Prada O, Gothen PB, Oliveira AG. Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars. Comptes Rendus Mathematique. 2018;356(6):666-673.
2017
Gothen PB, Zúñiga-Rojas RA. Stratifications on the moduli space of Higgs bundles. Portugaliae Mathematica. 2017;74(2):127-148.
Gothen PB, Nozad A. Birationality of moduli spaces of twisted U(p,q)-Higgs bundles. Revista Matemática Complutense. 2017;30(1):91-128.
2016
Gothen PB. Hitchin Pairs for non-compact real Lie groups. In: GEOQUANT. Vol Travaux Mathématiques 24 (2016), Special issue based on School GEOQUANT at the ICMAT Madrid, Spain, September 2015. Madrid, Spain: University of Luxemburg; 2016. 1. p. 183-200p.
2015
Bradlow SB, García-Prada O, Gothen PB. Higgs bundles for the non-compact dual of the special orthogonal group. Geom. Dedicata. 2015;175:1-48.
2014
Gothen PB. Representations of surface groups and Higgs bundles. Vol Moduli Spaces. Isaac Newton Institute ed. Brambila-Paz L, Newstead P, Thomas RPW, García-Prada O, editors Cambridge University Press 2014.
2013
García-Prada O, Gothen PB, I. Riera Mi. Higgs bundles and surface group representations in the real symplectic group. J. Topol.. 2013;6:64-118.
Castro SB, Dakhlia S, Gothen PB. From singularity theory to finiteness of Walrasian equilibria. Math. Social Sci.. 2013;66:169-175.
Gothen PB, Oliveira AG. The singular fiber of the Hitchin map. Int. Math. Res. Not. IMRN. 2013:1079-1121.
2012
Bradlow SB, García-Prada O, Gothen PB. Deformations of maximal representations in $\rm Sp(4,\Bbb R)$. Q. J. Math.. 2012;63:795-843.
Gothen PB. Rank two quadratic pairs and surface group representations. Geom. Dedicata. 2012;161:335-375.
2011
Biswas I, Gothen PB, Logares M. On moduli spaces of Hitchin pairs. Math. Proc. Cambridge Philos. Soc.. 2011;151:441-457.
Gothen PB. Higgs bundles and the real symplectic group. In: Proceedings of the XIX International Fall Workshop on Geometry and Physics. Vol 1360.; 2011. 3. p. 39-50p.
2010
Castro SB, Dakhlia S, Gothen PB. Direct perturbations of aggregate excess demand. J. Math. Econom.. 2010;46:562-571.
2008
Bradlow SB, García-Prada O, Gothen PB. Homotopy groups of moduli spaces of representations. Topology. 2008;47:203-224.
2007
Bradlow SB, García-Prada O, Gothen PB. What is$\dots$ a Higgs bundle? Notices Amer. Math. Soc.. 2007;54:980-981.
García-Prada O, Gothen PB, Muñoz V.. Betti numbers of the moduli space of rank 3 parabolic Higgs bundles. Mem. Amer. Math. Soc.. 2007;187:viii+80.
2006
Bradlow SB, García-Prada O, Gothen PB. Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces. Geom. Dedicata. 2006;122:185-213.
2005
Gothen PB, King AD. Homological algebra of twisted quiver bundles. J. London Math. Soc. (2). 2005;71:85-99.
2004
Bradlow SB, García-Prada O, Gothen PB. Representations of surface groups in the general linear group. In: Proceedings of the {XII} {F}all {W}orkshop on {G}eometry and {P}hysics. Vol 7. R. Soc. Mat. Esp., Madrid; 2004. 8. p. 83-94p.
Bradlow SB, García-Prada O, Gothen PB. Moduli spaces of holomorphic triples over compact Riemann surfaces. Math. Ann.. 2004;328:299-351.
2003
Bradlow SB, García-Prada O, Gothen PB. Surface group representations and $\rm U(p,q)$-Higgs bundles. J. Differential Geom.. 2003;64:111-170.
2002
Gothen PB. Topology of $\rm U(2,1)$ representation spaces. Bull. London Math. Soc.. 2002;34:729-738.
2001
Bradlow SB, García-Prada O, Gothen PB. Representations of the fundamental group of a surface in $\rm PU(p,q)$ and holomorphic triples. C. R. Acad. Sci. Paris Sér. I Math.. 2001;333:347-352.
Gothen PB. Components of spaces of representations and stable triples. Topology. 2001;40:823-850.
1994
Gothen PB. The Betti numbers of the moduli space of stable rank $3$ Higgs bundles on a Riemann surface. Internat. J. Math.. 1994;5:861-875.
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