Marina Logares

most citedTorelli theorem for the moduli space of parabolic Higgs bundles

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math.AG2009★ 1 cited

Torelli theorem for the moduli space of parabolic Higgs bundles

Tomas L. Gomez, Marina Logares

In this article we extend the proof given by Biswas and Gomez of a Torelli theorem for the moduli space of Higgs bundles with fixed determinant, to the parabolic situation.

math.AG2006

Moduli spaces of parabolic $U (p, q)$ -Higgs bundles

Oscar Garcia-Prada, Marina Logares, Vicente Muñoz

Using the $L^{2}$ -norm of the Higgs field as a Morse function, we count the number of connected components of the moduli space of parabolic $U (p, q)$ -Higgs bundles over a Riemann surf…

math.AG2006

Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces

Marina Logares

Let X be a compact Riemann surface together with a finite set of marked points. We use Morse theoretic techniques to compute the Betti numbers of the parabolic U(2,1)-Higgs bundles…

Torelli theorem for the moduli space of parabolic Higgs bundles

Moduli spaces of parabolic U(p,q)-Higgs bundles

Betti numbers of parabolic U(2,1)-Higgs bundles moduli spaces

Moduli spaces of parabolic $U (p, q)$ -Higgs bundles