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On boundary slopes of immersed incompressible surfaces

Mark D. Baker — 1996

Annales de l'institut Fourier

Let $M$ be a compact, orientable, irreducible 3-manifold with $\partial M$ a torus. We show that there can be infinitely many slopes on $\partial M$ realized by the boundary curves of immersed, incompressible, $\partial$ - incompressible surfaces in $M$ which are embedded in a neighborhood of $M$ .

Principal congruence link complements

Mark D. Baker; Alan W. Reid — 2014

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper we study principal congruence link complements in $S^{3}$ . It is known that there are only finitely many such link complements, and we make a start on enumerating them using a combination of theoretical methods and computer calculations with MAGMA.

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