Canonical structures on anti-self-dual four-manifolds and the diffeomorphism group

Journal article

An unusual and attractive system is studied that arises from the anti-self-dual (ASD) Yang-Mills equations with maximal translational symmetry and with gauge group the volume preserving diffeomorphisms of an auxiliary four-manifold Script M sign. The resulting equations lead to a system consisting of a volume form together with four independent vector fields on Script M sign satisfying three simple Lie bracket relations. This structure is shown to give rise to a two-sphere's worth of closed s...

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Authors: Chakravarty, S; Mason, L; Newman, E

• Journal: Journal of Mathematical Physics
• Volume: 32
• Issue: 6
• Pages: 1458-1464
• Publication date: 1991-01-01
• ISSN: 0022-2488
• Language: English