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A polynomial invariant of diffeomorphisms of 4-manifolds

Daniel Ruberman
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Abstract

We use a 1-parameter version of gauge theory to investigate the topology of the diffeomorphism group of 4-manifolds. A polynomial invariant, analogous to the Donaldson polynomial, is defined, and is used to show that the diffeomorphism group of certain simply-connected 4-manifolds has infinitely generated π_0.

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Daniel Ruberman. 1999-11-23. A polynomial invariant of diffeomorphisms of 4-manifolds. https://arxiv.org/abs/math/9911260

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