English

The Dehn twist on a sum of two K3 surfaces

Geometric Topology 2020-01-30 v2 Differential Geometry

Abstract

Ruberman gave the first examples of self-diffeomorphisms of four-manifolds that are isotopic to the identity in the topological category but not smoothly so. We give another example of this phenomenon, using the Dehn twist along a 3-sphere in the connected sum of two K3 surfaces.

Keywords

Cite

@article{arxiv.2001.08771,
  title  = {The Dehn twist on a sum of two K3 surfaces},
  author = {Peter Kronheimer and Tomasz Mrowka},
  journal= {arXiv preprint arXiv:2001.08771},
  year   = {2020}
}

Comments

15 pages. Corrected with additional remarks about prior work in the higher-dimensional case