Covers of Dehn fillings on once-punctured torus bundles

Baker, Mark D.

doi:10.1090/S0002-9939-1989-0964452-6

Covers of Dehn fillings on once-punctured torus bundles
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by Mark D. Baker

Proc. Amer. Math. Soc. 105 (1989), 747-754

DOI: https://doi.org/10.1090/S0002-9939-1989-0964452-6

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Abstract:

Let $M$ be a compact, orientable $3$-manifold that fibers over ${S^1}$ with fiber a once-punctured torus, ${T_0}$, and characteristic homeomorphism $h:{T_0} \to {T_0}$. We prove that for certain characteristic homeomorphisms, most Dehn fillings on $M$ yield manifolds with virturally ${\mathbf {Z}}$-representable fundamental groups.

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The geometry and topology of

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