128 citations · 604 across the 35 of their papers we have counts for
36 papers
Zero velocity Lagrangians in the Hitchin system
Peter Gothen, André Oliveira, Rodrigo Pereira
Lagrangians of the moduli space of Higgs bundles are a fundamental piece of its study under the lens of mirror symmetry. We construct a new class of Lagrangians defined via a zero…
Walrasian equilibria are almost always finite in number
Sofia B. S. D. Castro, Peter B. Gothen
In the context of exchange economies, defined by aggregate excess demand functions, we extend results on finiteness of equilibria to economies defined on the full open price simple…
The conformal limit and projective structures
Pedro M. Silva, Peter B. Gothen
The non-abelian Hodge correspondence maps a polystable -Higgs bundle on a compact Riemann surface of genus to a connection which, in some ca…
Geometry on Surfaces and Higgs bundles
Peter B. Gothen
There are three complete plane geometries of constant curvature: spherical, Euclidean and hyperbolic geometry. We explain how a closed oriented surface can carry a geometry which l…
Narasimhan--Ramanan branes and wobbly Higgs bundles
Emilio Franco, Peter B. Gothen, André G. Oliveira +1
Narasimhan--Ramanan branes were introduced by the authors in a previous article. They consist of a family of -branes inside the moduli space of Higgs bundles, and a family of…
Non-connected Lie groups, twisted equivariant bundles and coverings
G. Barajas, O. García-Prada, P. B. Gothen +1
Let be a finite group acting on a Lie group . We consider a class of group extensions defined by this action and a -cocycle of with v…