Knot surgery and Scharlemann manifolds

Details Knot surgery and Scharlemann manifolds Knot surgery and Scharlemann manifolds

2010-11-29

arxiv.org/abs/1011.6274v3

Mathematics

Geometric Topology

8 pages, 9 figures, final version to appear in Forum Mathematicum

Scientific paper

We discuss the relation between Fintushel-Stern knot surgery operation on
4-manifolds and Scharlemann manifolds, and as a corollary show that they all
are standard. Along the way we show that the fishtail can exotically knot in
the 4-sphere infinitely many ways.

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