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We study a family of 2-bridge knots with 2-tangles in
the 3-sphere admitting a genus two 1-bridge splitting. We also
observe a geometric relation between (g ¡ 1; 1)-splitting and (g; 0)-
splitting for g = 2; 3. Moreover we construct a family of closed
orientable 3-manifolds which are n-fold cyclic coverings of the 3-
sphere branched over those 2-bridge knots.
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참고문헌 (9)
참고문헌 신청
/ / Genus two Heegaard splittings of exteriorsof knots and the disjoint curve property
/ 1989 / Surgery on knots in solid tori 28 : 1 ~ 6
/ 1990 / 1-bridge braids in solid tori 37 : 221 ~ 235
/ 1991 / The knots in D2 S1 with non-trivial Dehn surgery yieldingD2 D1 38 : 1 ~ 19
/ 1992 / @-reducing Dehn surgeries and 1-bridge knots 295 : 319 ~ 331
/ 1989 / Surgery on knots in solid tori 28 : 1 ~ 6
/ 1990 / 1-bridge braids in solid tori 37 : 221 ~ 235
/ 1991 / The knots in D2 S1 with non-trivial Dehn surgery yieldingD2 D1 38 : 1 ~ 19
/ 1992 / @-reducing Dehn surgeries and 1-bridge knots 295 : 319 ~ 331
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