The topology of asymptotically locally flat gravitational instantons

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dc.creatorEtesi, Gabor
dc.date2006-02-06
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:31:18Z
dc.date.available2026-07-07T12:31:18Z
dc.descriptionIn this letter we demonstrate that the intersection form of the Hausel--Hunsicker--Mazzeo compactification of a four dimensional ALF gravitational instanton is definite and diagonalizable over the integers if one of the Kahler forms of the hyper-Kahler gravitational instanton metric is exact. This leads to the topological classification of these spaces. The proof exploits the relationship between L^2 cohomology and U(1) anti-instantons over gravitational instantons recognized by Hitchin. We then interprete these as reducible points in a singular SU(2) anti-instanton moduli space over the compactification leading to the identification of its intersection form. This observation on the intersection form might be a useful tool in the full geometric classification of various asymptotically locally flat gravitational instantons.
dc.description9 pages, LaTeX, no figures; Some typos corrected, slightly differs from the published version
dc.identifierhttps://arxiv.org/abs/hep-th/0602053
dc.identifierhttp://arxiv.org/abs/hep-th/0602053
dc.identifierPhys.Lett.B641:461-465,2006
dc.identifierdoi:10.1016/j.physletb.2006.08.080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216403
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe topology of asymptotically locally flat gravitational instantons
dc.typetext

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