Scalar curvature, flat Borromean rings, and the 3-body problem
Michael Atiyah
TL;DR
This paper explores surprising connections between scalar curvature, the flat Borromean rings, and the three-body problem, providing a broad conceptual framework linking these mathematical and physical topics.
Contribution
It introduces a novel perspective that unifies these three areas, revealing unexpected relationships and insights.
Findings
Identifies links between scalar curvature and the geometry of Borromean rings
Provides new interpretations of the three-body problem in geometric terms
Establishes a broad conceptual framework connecting the topics
Abstract
This paper explains unexpected links between the 3 topics in the title and frames them in a large canvas.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometric Analysis and Curvature Flows · Homotopy and Cohomology in Algebraic Topology