We provide a simple algorithm which produces a (branched) standard spine of a 3-manifold presented by surgery along a framed link in S³, giving an explicit upper bound on the complexity of the spine in terms of the complexity of a diagram of the link. As a corollary, we get an easy constructive proof of Casler's result on the existence of a standard spine for a closed 3-manifold. We also describe an o-graph which represents the spine.
Amendola, G. (2002). An algorithm producing a standard spine of a 3-manifold presented by surgery along a link. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 51, Serie 2, 179-198.
An algorithm producing a standard spine of a 3-manifold presented by surgery along a link
AMENDOLA, GENNARO
2002
Abstract
We provide a simple algorithm which produces a (branched) standard spine of a 3-manifold presented by surgery along a framed link in S³, giving an explicit upper bound on the complexity of the spine in terms of the complexity of a diagram of the link. As a corollary, we get an easy constructive proof of Casler's result on the existence of a standard spine for a closed 3-manifold. We also describe an o-graph which represents the spine.
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