Non-null homologous knots in lens spaces with once-punctured tori.
Though only null homologous knots have Seifert surfaces, knots that
represent non-trivial homological torsion have "rational Seifert
surfaces". We will give a classification of all the non-null homologous
knots in lens spaces that have once-punctured tori as rational Seifert
surfaces and sketch its proof. With our prior work, this classification
enables the classification of all once-punctured torus bundles that admit
lens space fillings.