Kobayashi-Hitchin correspondence for tame harmonic bundles II
By T. Mochizuki. 2006
86 citations recorded by the source corpus.
Let X be a smooth irreducible projective complex variety with an ample line bundle L, and D be a simple normal crossing hypersurface. We establish the Kobayashi‐ Hitchin correspondence between tame harmonic bundles on X D and L ‐stable parabolic ‐flat bundles with trivial characteristic numbers on .X;D/. In particular, we obtain the quasiprojective version of the Corlette‐Simpson correspondence between flat bundles and Higgs bundles. 14J60; 53C07
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/af9e8688179bda3a89ca0898fb8181f2f998d7f2
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In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Asymptotic behaviour of certain families of harmonic bundles on Riemann surfaces (2015, methodology): “By applying a variant of the arguments used in [15] with the tools given in [19], we shall observe that the sequence κikti converges in some sense for an appropriate sequence κi > 0.”
- Iterated destabilizing modifications for vector bundles with connection (2008, background): “This estimate is explained for the case of λ-connections in [38].”