M\'etriques hyperk\"ahl\'eriennes pli\'ees
Differential Geometry
2015-10-20 v3
Abstract
N. Hitchin recently introduced the notion of folded hyperK\"ahler metrics, in relation with SL(\infty,R) Higgs bundles. We provide a construction of such metrics, and prove the local existence of the Hitchin component for SL(\infty,R).
Keywords
Cite
@article{arxiv.1503.04128,
title = {M\'etriques hyperk\"ahl\'eriennes pli\'ees},
author = {Olivier Biquard},
journal= {arXiv preprint arXiv:1503.04128},
year = {2015}
}
Comments
in French. This version is more than a revision, since it contains a new result: the construction of the Hitchin component for SL(\infty,R)