L-space surgery and twisting operation
作者： Kimihiko Motegi
关键词: Berge knot 、 Combinatorics 、 Mathematics 、 Knot complement 、 Trefoil knot 、 Fibered knot 、 Skein relation 、 Knot theory 、 Torus knot 、 Knot invariant 、 Mathematical analysis
摘要: A knot in the 3-sphere is called an L-space if it admits a nontrivial Dehn surgery yielding L-space, i.e. rational homology with smallest possible Heegaard Floer homology. Given K, take unknotted circle c and twist K n times along to obtain family { K_n }. We give sufficient condition for } contain infinitely many knots. As application we show that each torus hyperbolic Berge can so contains also demonstrate there of knots member which has tunnel number greater than one.
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