3-Manifolds, tangles and persistent invariants
Geometric Topology
2009-11-10 v1
Abstract
New obstructions for embedding one compact oriented 3-manifold in another are given. A theorem of D. Krebes concerning 4-tangles embedded in links arises as a special case. Algebraic and skein-theoretic generalizations for 2n-tangles provide invariants that persist in the corresponding invariants of links in which they embed. An example is given of a virtual 4-tangle for which Krebes's theorem does not hold.
Cite
@article{arxiv.math/0405465,
title = {3-Manifolds, tangles and persistent invariants},
author = {Jozef H. Przytycki and Daniel S. Silver and Susan G. Williams},
journal= {arXiv preprint arXiv:math/0405465},
year = {2009}
}
Comments
Plain TeX, 19 pages, 10 figures