A polynomial invariant of diffeomorphisms of 4-manifolds

Details A polynomial invariant of diffeomorphisms of 4-manifolds A polynomial invariant of diffeomorphisms of 4-manifolds

1999-11-23

arxiv.org/abs/math/9911260v1

Geom. Topol. Monogr. 2 (1999), 473-488

Mathematics

Geometric Topology

16 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper23.abs.html

Scientific paper

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 \pi _0.

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