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Degenerating metrics and instantons on the four-sphere
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UNSPECIFIED (1998) Degenerating metrics and instantons on the four-sphere. JOURNAL OF GEOMETRY AND PHYSICS, 27 (1-2). pp. 79-98. ISSN 0393-0440.
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Abstract
We give a direct proof of Atiyah's theorem relating instantons over the four-sphere with holomorphic maps from the two-sphere to the loop group. Our approach uses the non-linear heat flow equation for Hermitian metrics as used in the study of Kahler manifolds. The proof generalises immediately to a larger class of four-manifolds. Copyright (C) 1998 Elsevier Science B.V.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Journal or Publication Title: | JOURNAL OF GEOMETRY AND PHYSICS | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0393-0440 | ||||
Official Date: | August 1998 | ||||
Dates: |
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Volume: | 27 | ||||
Number: | 1-2 | ||||
Number of Pages: | 20 | ||||
Page Range: | pp. 79-98 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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