Double point surgery and configurations of surfaces

作者:Kim Hee Jung*; Ruberman Daniel
来源:Journal of Topology, 2011, 4(3): 573-590.
DOI:10.1112/jtopol/jtr014

摘要

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) circle plus Z(n) on simply connected 4-manifolds with complicated fixed-point sets.

  • 出版日期2011