The Tait Flyping Conjecture

  title={The Tait Flyping Conjecture},
  author={William W. Menasco and Morwen Thistlethwaite},
We announce a proof of the Tait flyping conjecture; the confirmation of this conjecture renders almost trivial the problem of deciding whether two given alternating link diagrams represent equivalent links. The proof of the conjecture also shows that alternating links have no "hidden" symmetries. In the nineteenth century, the celebrated physicist and knot tabulator P. G. Tait proposed the following conjecture: given reduced, prime alternating diagrams D{, D2 of a knot (or link), it is possible… CONTINUE READING
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