Mutation of 3-manifolds (cutting and regluing along a genus 2 surface using a central involution) is shown to preserve the instanton Floer homology of homology 3-spheres. A related operation on 4-manifolds is shown to preserve the Donaldson polynomial invariant.
Cite this article
Daniel Ruberman, Mutation and gauge theory I: Yang-Mills invariants. Comment. Math. Helv. 74 (1999), no. 4, pp. 615–641DOI 10.1007/S000140050108