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Results tagged with gt.geometric-topology
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user 33041
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
10
votes
Accepted
If $M$ is contractible manifold and $X\subset \partial M$, does the cone over $X$ embed in $M$?
Not in the PL case - this follows from the results of "Knot concordance in homology cobordisms" by Hom, Levine, and Lidman.
They prove that for many pairs of a 3-manifold $Y$ and knot $K \subset Y$, a …
4
votes
Accepted
What are the possible linking matrices of a quasi-positive link?
There seem to be hardly any restrictions on the linking matrices you can get from a quasipositive link. For example, this construction shows that everything except the first row and column of the link …
2
votes
Presenting 3-manifolds by planar graphs
I'm pretty sure that the answers to Question 1 and part of Question 2 are no, and this does come from looking at double branched covers.
There are examples due to Watson (1) of pairs of knots with di …