The Dirac–Higgs bundle is a hyperholomorphic bundle over the moduli space of stable
Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the …

We study the locus of the moduli space of GL (n, C)-Higgs bundles on a curve given by
those Higgs bundles obtained by pushforward under a connected unramified cover. We …

We study the mirror symmetry on the singular locus of the Hitchin system at two levels. First,
by covering it by (supports of)(BBB)‐branes, corresponding to Higgs bundles reducing their …

The Dirac–Higgs bundle is a vector bundle with a natural connection on the moduli space of
stable Higgs bundles on a compact Riemann surface. It is a vector bundle of null-spaces of a …

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We consider two families of branes supported on the singular locus of the moduli space of
Higgs bundles over a smooth projective curve x. On the one hand, a (BBB)-brane Car (L) …

We find an agreement of equivariant indices of semi-classical homomorphisms between
pairwise mirror branes in the GL2-Higgs moduli space on a Riemann surface. On one side …

We study the fixed loci for the action of tensorisation by a line bundle of order n on the
moduli space of Higgs bundles for the Langlands self-dual group GLpn, Cq. We equip these …

This thesis is dedicated to the study of certain loci of the Higgs bundle moduli space on a
compact Riemann surface. Motivated by mirror symmetry, we give a detailed description of …

We define and investigate a Fourier-Mukai transformation for Higgs bundles on smooth
curves. It can be viewed as the purely algebro-geometric or holomorphic side of a Nahm …