English

Complementary legs and rational balls

Geometric Topology 2017-01-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1701.01980,
  title  = {Complementary legs and rational balls},
  author = {Ana G. Lecuona},
  journal= {arXiv preprint arXiv:1701.01980},
  year   = {2017}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-22T17:44:07.077Z