Concordance and 1-loop clovers

نویسندگان

  • Stavros Garoufalidis
  • Jerome Levine
چکیده

We show that surgery on a connected clover (or clasper) with at least one loop preserves the concordance class of a knot. Surgery on a slightly more special class of clovers preserves invertible concordance. We also show that the converse is false. Similar results hold for clovers with at least two loops vs. S -equivalence. AMS Classi cation 57N10; 57M25

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تاریخ انتشار 2001