Double point surgery and configurations of surfaces
Geometric Topology
2018-09-05 v2 Symplectic Geometry
Abstract
We introduce a new operation, double point surgery, on immersed surfaces in a 4-manifold, and use it to construct knotted configurations of surfaces in many 4-manifolds. Taking branched covers, we produce smoothly exotic actions of Z/m x Z/n on simply connected 4-manifolds with complicated fixed-point sets.
Keywords
Cite
@article{arxiv.1001.3750,
title = {Double point surgery and configurations of surfaces},
author = {Hee Jung Kim and Daniel Ruberman},
journal= {arXiv preprint arXiv:1001.3750},
year = {2018}
}
Comments
Final version; to appear in Journal of Topology. Removed assertion about the restriction of the Z/m x Z/n action to the Z/m and Z/n subgroups