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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2007.1
- 수록면
- 335 - 340 (6page)
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초록· 키워드
오류제보하기
Let M be a hyperbolic 3-manifold such that ∂M has at least two boundary tori ∂0M and ∂1M. Suppose that M contains an essential orientable surface P of genus g with one outer boundary component ∂0P, lying in ∂0M and having slope λ in ∂0M, and p inner boundary components ∂iP, i = 1, · · · , p, each having slope α in ∂1M. Let β be a slope in ∂1M and suppose that M(β) is toroidal. Let ˆ T be a minimal essential torus in M(β), which means that ˆ T is pierced a minimal number of times by the core of the β-Dehnfilling, among all essential tori in M(β). Let T = ˆ T ∩ M and denote by t the number of components of ∂T. In this paper we prove:
(i) If t ≥ 3, then (α, β) ≤ 6 + 10g − 5p,
(ii) If t = 2, then (α, β) ≤ 13 + 24g − 12p,
(iii) If t = 1, then (α, β) ≤ 1.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
/ / Reducible manifolds and Dehn fillings on links
/ 1987 / Dehn surgery on knots : 237 ~ 300
/ 1992 / The reducibility of surgered 3-manifolds : 213 ~ 218
/ 1995 / Dehn surgeries on knots creating essential tori 3 (3-4) : 597 ~ 644
/ 1997 / Only single twist on unknots can produce composite knots 349 (1) : 151 ~ 164
/ 1987 / Dehn surgery on knots : 237 ~ 300
/ 1992 / The reducibility of surgered 3-manifolds : 213 ~ 218
/ 1995 / Dehn surgeries on knots creating essential tori 3 (3-4) : 597 ~ 644
/ 1997 / Only single twist on unknots can produce composite knots 349 (1) : 151 ~ 164
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