Branched coverings and equivariant smoothings of 4-manifolds
Sławomir KwasikTulane University, New Orleans, USA
Reinhard SchultzUniversity of California, Riverside, USA
This paper describes some new families of finite group actions on 4-manifolds, including infinite families of smoothly inequivalent actions which are topologically equivalent and locally linear actions which are not smoothable. The constructions involve a variety of results on 4-manifolds and branched coverings. One common feature is that these families are counterexamples to the Lashof–Rothenberg homotopy classication results for equivariant smoothings which hold for actions with no 4-dimensional strata. Related examples with 4-dimensional fixed point sets are also described.
Cite this article
Sławomir Kwasik, Reinhard Schultz, Branched coverings and equivariant smoothings of 4-manifolds. Enseign. Math. 63 (2017), no. 1/2, pp. 201–232DOI 10.4171/LEM/63-1/2-7