---
_id: '1454'
abstract:
- lang: eng
  text: We address the problem of finding Abelian instantons of finite energy on the
    Euclidean Schwarzschild manifold. This amounts to construct self-dual L2 harmonic
    2-forms on the space. Gibbons found a non-topological L2 harmonic form in the
    Taub-NUT metric, leading to Abelian instantons with continuous energy. We imitate
    his construction in the case of the Euclidean Schwarzschild manifold and find
    a non-topological self-dual L2 harmonic 2-form on it. We show how this gives rise
    to Abelian instantons and identify them with SU(2)-instantons of Pontryagin number
    2n2 found by Charap and Duff in 1977. Using results of Dodziuk and Hitchin we
    also calculate the full L2 harmonic space for the Euclidean Schwarzschild manifold.
acknowledgement: The work in this paper was done when Tamás Hausel visited the Yukawa
  Institute of Kyoto University in February 2000. We are grateful for Prof. G.W. Gibbons
  for insightful discussions and Prof. H. Kodama and the Yukawa Institute for the
  invitation and hospitality.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gábor
  full_name: Etesi, Gábor
  last_name: Etesi
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
citation:
  ama: Etesi G, Hausel T. Geometric interpretation of Schwarzschild instantons. <i>Journal
    of Geometry and Physics</i>. 2001;37(1-2):126-136. doi:<a href="https://doi.org/10.1016/S0393-0440(00)00040-1">10.1016/S0393-0440(00)00040-1</a>
  apa: Etesi, G., &#38; Hausel, T. (2001). Geometric interpretation of Schwarzschild
    instantons. <i>Journal of Geometry and Physics</i>. Elsevier. <a href="https://doi.org/10.1016/S0393-0440(00)00040-1">https://doi.org/10.1016/S0393-0440(00)00040-1</a>
  chicago: Etesi, Gábor, and Tamás Hausel. “Geometric Interpretation of Schwarzschild
    Instantons.” <i>Journal of Geometry and Physics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0393-0440(00)00040-1">https://doi.org/10.1016/S0393-0440(00)00040-1</a>.
  ieee: G. Etesi and T. Hausel, “Geometric interpretation of Schwarzschild instantons,”
    <i>Journal of Geometry and Physics</i>, vol. 37, no. 1–2. Elsevier, pp. 126–136,
    2001.
  ista: Etesi G, Hausel T. 2001. Geometric interpretation of Schwarzschild instantons.
    Journal of Geometry and Physics. 37(1–2), 126–136.
  mla: Etesi, Gábor, and Tamás Hausel. “Geometric Interpretation of Schwarzschild
    Instantons.” <i>Journal of Geometry and Physics</i>, vol. 37, no. 1–2, Elsevier,
    2001, pp. 126–36, doi:<a href="https://doi.org/10.1016/S0393-0440(00)00040-1">10.1016/S0393-0440(00)00040-1</a>.
  short: G. Etesi, T. Hausel, Journal of Geometry and Physics 37 (2001) 126–136.
date_created: 2018-12-11T11:52:07Z
date_published: 2001-01-01T00:00:00Z
date_updated: 2023-05-31T12:08:45Z
day: '01'
doi: 10.1016/S0393-0440(00)00040-1
extern: '1'
external_id:
  arxiv:
  - hep-th/0003239
intvolume: '        37'
issue: 1-2
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/hep-th/0003239
month: '01'
oa: 1
oa_version: Preprint
page: 126 - 136
publication: Journal of Geometry and Physics
publication_identifier:
  issn:
  - 0393-0440
publication_status: published
publisher: Elsevier
publist_id: '5744'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometric interpretation of Schwarzschild instantons
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 37
year: '2001'
...