128 citations · 604 across the 35 of their papers we have counts for
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math.AG2017★ 2 cited
Quiver Bundles and Wall Crossing for Chains
P. B. Gothen, A. Nozad
Holomorphic chains on a Riemann surface arise naturally as fixed points of the natural C*-action on the moduli space of Higgs bundles. In this paper we associate a new quiver bundl…
math.AG2017★ 21 cited
Topological mirror symmetry for parabolic Higgs bundles
Peter B. Gothen, André G. Oliveira
We prove the topological mirror symmetry conjecture of Hausel-Thaddeus for the moduli space of strongly parabolic Higgs bundles of rank two or three, with full flags. Although the…
math.AG2017★ 9 cited
Irreducibility of moduli of semistable Chains and applications to U(p,q)-Higgs bundles
Steven Bradlow, Oscar Garcia-Prada, Peter Gothen +1
We give necessary and sufficient conditions for moduli spaces of semistable chains on a curve to be irreducible and non-empty. This gives information on the irreducible components…