Harmonic forms on ALF gravitational instantons

Guido Franchetti

doi:10.1007/JHEP12(2014)075

Harmonic forms on ALF gravitational instantons

Guido Franchetti^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1-14
Number of pages	14
Journal	Journal of High Energy Physics
Volume	2014
Issue number	12
DOIs	https://doi.org/10.1007/JHEP12(2014)075
Publication status	Published - 1 Jan 2014

Keywords

Differential and Algebraic Geometry
Solitons Monopoles and Instantons

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP12(2014)075

Cite this

@article{1c26bcf57953413a88846c71f9108661,

title = "Harmonic forms on ALF gravitational instantons",

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.",

keywords = "Differential and Algebraic Geometry, Solitons Monopoles and Instantons",

author = "Guido Franchetti",

year = "2014",

month = jan,

day = "1",

doi = "10.1007/JHEP12(2014)075",

language = "English",

volume = "2014",

pages = "1--14",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "Springer",

number = "12",

}

TY - JOUR

T1 - Harmonic forms on ALF gravitational instantons

AU - Franchetti, Guido

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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.

AB - 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.

KW - Differential and Algebraic Geometry

KW - Solitons Monopoles and Instantons

UR - https://www.scopus.com/pages/publications/84919632167

U2 - 10.1007/JHEP12(2014)075

DO - 10.1007/JHEP12(2014)075

M3 - Article

AN - SCOPUS:84919632167

SN - 1126-6708

VL - 2014

SP - 1

EP - 14

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

ER -

Harmonic forms on ALF gravitational instantons

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this