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Complementary Legs and Rational Balls

Ana G. Lecuona

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Source: Crossref

Published: Aug 1, 2019

DOI: 10.1307/mmj/1561708817

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Source abstract

In this note, we study the Seifert rational homology spheres with two complementary legs, that is, with a pair of invariants whose fractions add up to one. We give a complete classification of the Seifert manifolds with three exceptional fibers and two complementary legs that bound rational homology balls. The result translates into a statement on the sliceness of some Montesinos knots.

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Complementary Legs and Rational Balls — Mathematical Frontier Network