21 citations · 119 across the 19 of their papers we have counts for
24 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…
Straight-line trajectories on the Mucube
Andre Oliveira, Felipe A. Ramírez, Chandrika Sadanand +1
The dynamics of straight line flows on compact half-translation surfaces (surfaces formed by gluing Euclidean polygons edge-to-edge via translations possibly composed with rotation…
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…
Lie algebroid connections, twisted Higgs bundles and motives of moduli spaces
David Alfaya, André Oliveira
Let be an algebraic Lie algebroid over a smooth projective curve of genus such that is a line bundle whose degree is less than…
A general Cayley correspondence and higher Teichmüller spaces
Steve Bradlow, Brian Collier, Oscar Garcia-Prada +2
We introduce a new class of -triples in a complex simple Lie algebra , which we call magical. Such an -triple canonically defines a…
Principal bundles on 2-dimensional CW-complexes with disconnected structure group
André Oliveira
Given any topological group , the topological classification of principal -bundles over a finite CW-complex is long-known to be given by the set of free homotopy classes…