Hodge cohomology of gravitational instantons

By Tamás Hausel, Eugénie Hunsicker, Rafe Mazzeo. 2002

166 citations recorded by the source corpus.

This article was published in the Duke Mathematical Journal [© Duke University Press] and is also available at: http://projecteuclid.org/euclid.dmj/1082665286

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/3d421f235a59813ca64e3e9277f37bc84b3e59d4

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In Applied Mathematics

In Geometry and Topology

In Nuclear and High Energy Physics

Citations in the corpus

Extremal metrics and K-stability (PhD thesis) (2006, background): “Since g is quasi-isometric to the fibred cusp metrics of [17], according to Corollary 2 in that paper, this L(2) -cohomology group is naturally isomorphic to the de Rham cohomology H(2)(V ) .”
Harmonic forms on manifolds with edges (2005, methodology): “The main results in [13] identify the Hodge cohomology on a manifold M with the same differential topological structure as above, but endowed with a ‘fibred boundary’ or ‘fibred cusp’ metric, with certain intersection cohomology groups of the space X.”
Additivity and non-additivity for perverse signatures (2009, background): “, [15], [17], [9], [7]; these are particularly useful for relating intersection homology to L(2)-cohomology and harmonic forms, as in [15], [32], [45], and others, and for relating perverse signatures to L(2)-signatures, as in [19], [34].”