An open 4-manifold having no instanton

Masaki Tsukamoto

doi:10.1007/s10455-011-9256-2

An open 4-manifold having no instanton

Masaki Tsukamoto

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

Abstract

Taubes proved that all compact oriented Riemannian 4-manifolds admit non-flat instantons. We show that there exists a non-compact oriented complete Riemannian 4-manifold having no non-flat instanton.

Original language	English
Pages (from-to)	251-286
Number of pages	36
Journal	Annals of Global Analysis and Geometry
Volume	40
Issue number	3
DOIs	https://doi.org/10.1007/s10455-011-9256-2
Publication status	Published - Oct 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Political Science and International Relations
Geometry and Topology

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10.1007/s10455-011-9256-2

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@article{27228604112d4194b6fcf9b3e7c6f994,

title = "An open 4-manifold having no instanton",

abstract = "Taubes proved that all compact oriented Riemannian 4-manifolds admit non-flat instantons. We show that there exists a non-compact oriented complete Riemannian 4-manifold having no non-flat instanton.",

author = "Masaki Tsukamoto",

note = "Funding Information: Acknowledgments The author would like to thank Professor Kenji Fukaya most sincerely for his help and encouragement. The author was supported by Grant-in-Aid for Young Scientists (B) (21740048) from MEXT.",

year = "2011",

month = oct,

doi = "10.1007/s10455-011-9256-2",

language = "English",

volume = "40",

pages = "251--286",

journal = "Annals of Global Analysis and Geometry",

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publisher = "Springer Netherlands",

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AU - Tsukamoto, Masaki

N1 - Funding Information: Acknowledgments The author would like to thank Professor Kenji Fukaya most sincerely for his help and encouragement. The author was supported by Grant-in-Aid for Young Scientists (B) (21740048) from MEXT.

PY - 2011/10

Y1 - 2011/10

N2 - Taubes proved that all compact oriented Riemannian 4-manifolds admit non-flat instantons. We show that there exists a non-compact oriented complete Riemannian 4-manifold having no non-flat instanton.

AB - Taubes proved that all compact oriented Riemannian 4-manifolds admit non-flat instantons. We show that there exists a non-compact oriented complete Riemannian 4-manifold having no non-flat instanton.

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DO - 10.1007/s10455-011-9256-2

M3 - Article

AN - SCOPUS:80052037773

SN - 0232-704X

VL - 40

SP - 251

EP - 286

JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 3

ER -

An open 4-manifold having no instanton

Abstract

All Science Journal Classification (ASJC) codes

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