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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.

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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
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Journal or Publication Title: JOURNAL OF GEOMETRY AND PHYSICS
Publisher: ELSEVIER SCIENCE BV
ISSN: 0393-0440
Official Date: August 1998
Dates:
DateEvent
August 1998UNSPECIFIED
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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