English

Dehn surgeries on knots in product manifolds

Geometric Topology 2014-02-26 v1

Abstract

We show that if a surgery on a knot in a product sutured manifold yields the same product sutured manifold, then this knot is a 0-- or 1--crossing knot. The proof uses techniques from sutured manifold theory.

Keywords

Cite

@article{arxiv.1001.5242,
  title  = {Dehn surgeries on knots in product manifolds},
  author = {Yi Ni},
  journal= {arXiv preprint arXiv:1001.5242},
  year   = {2014}
}

Comments

21 pages, 5 figures