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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > An analytic construction of dihedral ALF gravitational instantons

## An analytic construction of dihedral ALF gravitational instantonsAdd to your list(s) Download to your calendar using vCal - Auvray, H (Universit Paris-Sud)
- Monday 27 July 2015, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact webseminars. Metric and Analytic Aspects of Moduli Spaces Gravitational instantons are 4-dimensional complete non-compact hyperkhler manifolds with some curvature decay at infinity. The asymptotic geometry of these spaces plays an important role in a conjectural classification; for example, instantons of euclidean, i.e. quartic, large ball volume growth, are completely classified by Kronheimer, whereas the cubic regime, i.e. the {it ALF (Asymptotically Locally Flat)} case, is not fully understood yet. More precisely, ALF instantons with {it cyclic topology at infinity} are classified by Minerbe; by contrast, a classification in the {it dihedral} case at infinity is still unknown. A wide, conjecturally exhaustive, range of dihedral ALF instantons were constructed by Cherkis-Kapustin, adopting the moduli space point of view, and studied explicitly by Cherkis-Hitchin. I shall explain in this talk another construction of such spaces, based on the resolution of a Monge-Ampre equation in ALF geometry. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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