Rational seifert surfaces in Seifert fibered spaces
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]
|Collections||ANU Research Publications|
|Source:||Pacific Journal of Mathematics|
|01_Licata_Rational_seifert_surfaces_in_2012.pdf||448.37 kB||Adobe PDF|
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