3-Manifolds, tangles and persistent invariants

Details 3-Manifolds, tangles and persistent invariants 3-Manifolds, tangles and persistent invariants

2004-05-24

arxiv.org/abs/math/0405465v1

Mathematics

Geometric Topology

Plain TeX, 19 pages, 10 figures

Scientific paper

10.1017/S0305004105008753

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.

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