All the shapes of spaces: a census of small 3-manifolds

Sóstenes L. Lins; Lauro D. Lins

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arXiv · 1305.5590

All the shapes of spaces: a census of small 3-manifolds

Sóstenes L. Lins·Lauro D. Lins

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Abstract

In this work we present a complete (no misses, no duplicates) census for closed, connected, orientable and prime 3-manifolds induced by plane graphs with a bipartition of its edge set (blinks) up to $k=9$ edges. Blinks form a universal encoding for such manifolds. In fact, each such a manifold is a subtle class of blinks, \cite{lins2013B}. Blinks are in 1-1 correpondence with {\em blackboard framed links}, \cite {kauffman1991knots, kauffman1994tlr} We hope that this census becomes as useful for the study of concrete examples of 3-manifolds as the tables of knots are in the study of knots and links.

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BibTeX RIS

Sóstenes L. Lins, Lauro D. Lins. 2013-06-07. All the shapes of spaces: a census of small 3-manifolds. https://arxiv.org/abs/1305.5590

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