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The disjoint curve property and bridge surfaces

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We show that every bridge surface of certain types of (1,1) prime knot has the disjoint curve property. Also we determine when a bridge surface of a pretzel knot of type (-2,3,n) has the disjoint curve property.

Abstract

We show that every bridge surface of certain types of (1,1) prime knot has the disjoint curve property. Also we determine when a bridge surface of a pretzel knot of type (-2,3,n) has the disjoint curve property.

참고문헌 (17)

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  15. T. Saito, "Genus one 1-bridge knots as viewed from the curve complex", Osaka J. Math, 41(2), pp.427~454 (2004)
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