Toroidal and Annular Dehn Fillings

نویسندگان

  • Ying-Qing Wu
  • Y-Q. WU
چکیده

Suppose M is a hyperbolic 3-manifold which admits two Dehn fillings M(r1) and M(r2) such that M(r1) contains an essential torus and M(r2) contains an essential annulus. It is known that ∆ = ∆(r1, r2) ≤ 5. We will show that if ∆ = 5 then M is the Whitehead sister link exterior, and if ∆ = 4 then M is the exterior of either the Whitehead link or the 2-bridge link associated to the rational number 3/10. There are infinitely many examples with ∆ = 3.

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تاریخ انتشار 1999