Surfaces in $D^4$ with the same boundary and fundamental group
Geometric Topology
2017-08-09 v1 Symplectic Geometry
Abstract
We construct a family of pairs of non-isotopic symplectic surfaces in the standard symplectic -disk such that they are bounded by the same transverse knot in the standard contact -sphere and fundamental groups of their complements are isomorphic. In the appendix, we prove explicitly that one can obtain a symplectic surface in the standard symplectic -disk from a braided surface in a bidisk.
Cite
@article{arxiv.1708.02523,
title = {Surfaces in $D^4$ with the same boundary and fundamental group},
author = {Takahiro Oba},
journal= {arXiv preprint arXiv:1708.02523},
year = {2017}
}
Comments
12 pages, 7 figures