Differently knotted symplectic surfaces in D^4 bounded by the same transverse knot

Andrew Geng

Differently knotted symplectic surfaces in D^4 bounded by the same transverse knot

Geometric Topology 2011-09-02 v2 Symplectic Geometry

Authors: Andrew Geng

Abstract

In this paper we show that there are two symplectic surfaces in the 4-ball which bound the same transverse knot, have the same topology (as abstract surfaces), and are distinguished by the fundamental groups of their complements.

Keywords

symplectic geometry smooth 4-manifolds surfaces and embeddings

Cite

@article{arxiv.1007.3562,
  title  = {Differently knotted symplectic surfaces in D^4 bounded by the same transverse knot},
  author = {Andrew Geng},
  journal= {arXiv preprint arXiv:1007.3562},
  year   = {2011}
}

Comments

3 pages (4 including references), 1 figure; for associated Python code, see http://www-math.mit.edu/~seidel/geng/; corrected typo at bottom of page 2 (third relation)

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