摘要

For n = 1, 2 and 3, we construct a pair of transverse knots T-1 and T-2(n), in the standard contact 3-sphere, satisfying the following properties: %26lt;br%26gt;(1) the topological knot type of T-1 is the same as that of T-2(n), %26lt;br%26gt;(2) the self-linking number of T-1 is equal to that of T-2(n), %26lt;br%26gt;(3) T-2(n) is obtained from a transverse knot T-2 by n stabilizations, and %26lt;br%26gt;(4) T-1 is not transversely isotopic to T-2(n).

  • 出版日期2012-10

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