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Rational seifert surfaces in Seifert fibered spaces

Licata, Joan; Sabloff, Joshua M

Description

Rationally null-homologous links in Seifert fibered spaces may be represented combinatorially via labeled diagrams. We introduce an additional condition on a labeled link diagram and prove that it is equivalent to the existence of a rational Seifert surface for the link. In the case when this condition is satisfied, we generalize Seifert's algorithm to explicitly construct a rational Seifert surface for any rationally null-homologous link. As an application of the techniques developed in the...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
URI: http://hdl.handle.net/1885/68279
Source: Pacific Journal of Mathematics
DOI: 10.2140/pjm.2012.258.199

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