Modeling complex points up to isotopy

Preprint English OPEN
Slapar, Marko (2011)
  • Subject: 32V40, 32S20, 32F10 | Mathematics - Complex Variables
    arxiv: Mathematics::Differential Geometry | Mathematics::Geometric Topology | Mathematics::Symplectic Geometry

In this paper we examine the structure of complex points of real 4-manifolds embedded into complex 3-manifolds up to isotopy. We show that there are only two types of complex points up to isotopy and as a consequence, show that any such embedding can be deformed by isotopy to a manifold having 2-complete neighborhood basis.
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