5 papers
Poisson three-folds constructed from co-Higgs bundles on Hopf surfaces
Eric Boulter
This paper extends a previous work in which the rank-2 co-Higgs bundles on a Hopf surface are classified based on the data of the underlying vector bundle. The aim of the paper is…
Spectral coverings without embeddings
Eric Boulter, Steven Rayan
In this article, we investigate a weakened version of the spectral correspondence for twisted Higgs bundles. Namely, we construct twisted Higgs bundles from a finite covering map a…
(Co)-Higgs bundles on Non-Kähler Elliptic Surfaces
Eric Boulter, Ruxandra Moraru
In this paper, we study Higgs and co-Higgs bundles on non-Kähler elliptic surfaces. We show, in particular, that non-trivial stable Higgs bundles only exist when the base of the el…
Moduli Spaces of Stably Irreducible Sheaves on Kodaira Surfaces
Eric Boulter
Moduli spaces of stably irreducible sheaves on Kodaira surfaces belong to the short list of examples of smooth and compact holomorphic symplectic manifolds, and it is not yet known…
The -Body Problem in Spaces with Uniformly Varying Curvature
Eric Boulter, Florin Diacu, Shuqiang Zhu
We generalize the curved -body problem to spheres and hyperbolic spheres whose curvature varies in time. Unlike in the particular case when the curvature is constant, the eq…