English

A polynomial invariant of diffeomorphisms of 4-manifolds

Geometric Topology 2009-09-25 v1 Differential Geometry

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 \pi _0.

Keywords

Cite

@article{arxiv.math/9911260,
  title  = {A polynomial invariant of diffeomorphisms of 4-manifolds},
  author = {Daniel Ruberman},
  journal= {arXiv preprint arXiv:math/9911260},
  year   = {2009}
}

Comments

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