The Dealternating Number and the Alternation Number of a Closed 3-braid

نویسندگان

  • TETSUYA ABE
  • KENGO KISHIMOTO
چکیده

We give an upper bound for the dealternating number of a closed 3-braid. As applications, we determine the dealternating numbers, the alternation numbers and the Turaev genera of some closed positive 3-braids. We also show that there exist infinitely many positive knots with any dealternating number (or any alternation number) and any braid index.

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تاریخ انتشار 2008