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Geometric Interpretation of Schwarzschild Instantons

Abstract:

In this note we address the problem of finding Abelian instantons of finite energy on the Euclidean Schwarzschild manifold. This amounts to construct self-dual L^2 harmonic 2-forms on the space. Gibbons found a non-topological L^2 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 L^2 harmonic 2-form on it. We show how this gives rise to...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
J.Geom.Phys.
Volume:
37
Issue:
1-2
Pages:
126-136
Publication date:
2000-03-27
DOI:
ISSN:
0393-0440
Source identifiers:
7998
Language:
English
Keywords:
Pubs id:
pubs:7998
UUID:
uuid:38800289-653a-4615-91dc-570ff06e75dc
Local pid:
pubs:7998
Deposit date:
2012-12-19

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