Abstract
We study the space of square-integrable harmonic forms over ALF gravitational instantons of type A K−1 and of type D K . We first calculate its dimension making use of a result by Hausel, Hunsicker and Mazzeo which relates the Hodge cohomology of a gravitational instanton M to the singular cohomology of a particular compactification X M of M. We then exhibit an explicit basis, exact for A K−1 and approximate for D K , and interpret geometrically the relations between M, X M and their cohomologies.
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ArXiv ePrint: 1410.2864
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Franchetti, G. Harmonic forms on ALF gravitational instantons. J. High Energ. Phys. 2014, 75 (2014). https://doi.org/10.1007/JHEP12(2014)075
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DOI: https://doi.org/10.1007/JHEP12(2014)075