Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
Results
Showing 1 to 8 of 8 for “"Higgs bundles"”.
-
Finite order automorphisms of Higgs bundles: theory and application
DSpace SAF Submission Ingestion Package generated from Vireo submission #9304 on 2016-07-07 at 13:31:11
-
Gluing constructions for Higgs bundles over a complex connected sum
… space of $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-Higgs bundles, or equivalently the $\text{Sp(4}\text{,}\mathbb{R}\text{)}$-character variety, are partially labeled by an integer $d$ known as the Toledo invariant. The subspace for which this integer attains a maximum has been shown to have $3\cdot …
-
Multiplicative Global Springer Theory
The moduli of Higgs bundles and the Hitchin fibration are central to many thriving research areas, such as mirror symmetry, non-abelian Hodge theory and the geometric Langlands program. They are also useful for globalizing representation-theoretic phenomena such as Springer theory and the study of …
-
Geometry of the Hitchin Morphism and Spectral Correspondences
… examples of cyclic twisted pairs and co-Higgs bundles on the same curve. Afterwards, by appealing to a composite push-pull projection formula, we conjecture an iterated version of spectral correspondence. We prove this conjecture for a particular class of spectral covers of the complex …
-
Holomorphic chains on the projective line
… on a smooth algebraic curve are tuples of vector bundles on the curve together with the homomorphisms between them. A type of a holomorphic chain is a tuple t of integers consisting of the ranks and degrees of the underlying vector bundles. The definition of holomorphic chains was introduced and …
-
Tamely ramified geometric Langlands correspondence in positive characteristic
… the moduli stack of (quasi-)parabolic vector bundles on X, and by Loc(n, P) the moduli stack of parabolic flat connections such that the residue is nilpotent with respect to the parabolic reduction at each marked point. We construct an equivalence between the bounded derived category …
-
Limiting Properties of Certain Geometric Flows in Complex Geometry
… of certain non-linear geometric flows on vector bundles over complex manifolds. First we consider the case of a semi-stable vector bundle E over a compact Kahler manifold X of arbitrary dimension. We show that in this case Donaldson's functional is bounded from below. This allows us to construct …
-
Langlands Duality in the Generic Fibres of Classical Hitchin Fibrations
… L-twisted endomorphisms of holomorphic vector bundles over a compact Riemann surface. In particular, we generalise Hitchin's computation of the generic bres of the Hitchin bration to the more general L-twisted case, which presents new challenges since we lose properties intrinsic to the …