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math.DG2015★ 1 cited
A hyperholomorphic line bundle on certain hyperkähler manifolds not admitting an -symmetry
Eric O. Korman
Generalizing work of Haydys and Hitchin, we prove the existence of a hyperholomorphic line bundle on certain hyperkähler manifolds that do not necessarily admit an action. As…
math.DG2014
Characteristic classes of Higgs bundles and Reznikov's theorem
Eric O. Korman
We introduce Dolbeault cohomology valued characteristic classes of Higgs bundles over complex manifolds. Flat vector bundles have characteristic classes lying in odd degree de Rham…