arXiv:math/0612525 Abstract

arXiv:math/0612525 [math.GT]Abstract References Reviews Resources

Once-punctured tori and knots in lens spaces

Published 2006-12-18, updated 2007-05-07Version 2

We determine the non-null homologous knots in lens spaces whose exteriors contain properly embedded once-punctured tori. All such knots arise as surgeries on the Whitehead link and are grid number 1 in their lens spaces. As a corollary, we classify once-punctured torus bundles that admit a lens space filling.

Comments: 37 pages, 29 figures

Categories: math.GT

Subjects: 57M27

Keywords: lens space, contain properly embedded once-punctured tori, knots arise, whitehead link, grid number

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