Toroidal and Annular Dehn Fillings | Zendy

Gordon Cameron McA. | Zendy; Wu YingQing | Zendy

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Toroidal and Annular Dehn Fillings

Author(s) -

Gordon Cameron McA.,

Wu YingQing

Publication year - 1999

Publication title -

proceedings of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.899

H-Index - 65

eISSN - 1460-244X

pISSN - 0024-6115

DOI - 10.1112/s0024611599001823

Subject(s) - mathematics , toroid , dehn surgery , geometry , physics , knot (papermaking) , composite material , materials science , plasma , quantum mechanics

Suppose that M is a hyperbolic 3‐manifold which admits two Dehn fillings M ( r 1 ) and M ( r 2 ) such that M ( r 1 ) contains an essential annulus, and M ( r 2 ) contains an essential torus. It is known that Δ = Δ ( r 1 , r 2 ) ⩽ 5. We will show that if Δ = 5 then M is the Whitehead sister link exterior, and if Δ = 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 Δ = 3. 1991 Mathematics Subject Classification : 11D25, 11G05, 14G05.

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