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2 results for “hexatangle”

Artin Presentations of the Trivial Group and Hyperbolic Closed Pure

3

-Braidsmath.GT

The paper finds Artin presentations for the trivial group and identifies hyperbolic 3-braids.

problem Artin presentations for the trivial group and hyperbolic 3-braids.

method Analysis of the hexatangle and Dehn surgery.

result Artin presentations for the trivial group and characterization of hyperbolic 3-braids.

Artin presentations trivial group hexatangle Dehn surgery hyperbolic 3-braids

2023-06-16abs ↗pdf ↗

The Hexatanglemath.GT

We are interested in knowing what type of manifolds are obtained by doing Dehn surgery on closed pure 3-braids in the 3-sphere. In particular, we want to determine when we get the 3-sphere by surgery on such a link. We consider links which are small closed pure 3-braids; these are the closure of 3-braids of the form $(…

2008-07-10abs ↗pdf ↗