Harmonic forms on ALF gravitational instantons

Guido Franchetti

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Abstract: We study the space of square-integrable harmonic forms over ALF gravitational instantons of type AK−1 and of type DK. 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 XM of M. We then exhibit an explicit basis, exact for AK−1 and approximate for DK, and interpret geometrically the relations between M, XM and their cohomologies.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalJournal of High Energy Physics
Volume2014
Issue number12
DOIs
Publication statusPublished - 1 Jan 2014

Keywords

  • Differential and Algebraic Geometry
  • Solitons Monopoles and Instantons

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Fingerprint Dive into the research topics of 'Harmonic forms on ALF gravitational instantons'. Together they form a unique fingerprint.

  • Cite this