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arxiv: 1701.01980 · v1 · pith:6HUVTFK5new · submitted 2017-01-08 · 🧮 math.GT

Complementary legs and rational balls

classification 🧮 math.GT
keywords complementarylegsrationalballshomologyseifertboundclassification
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In this note we study the Seifert rational homology spheres with two complementary legs, i.e. with a pair of invariants whose fractions add up to one. We give a complete classification of the Seifert manifolds with 3 exceptional fibers and two complementary legs which bound rational homology balls. The result translates in a statement on the sliceness of some Montesinos knots.

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