Heegaard splittings of knot exteriors

  title={Heegaard splittings of knot exteriors},
  author={YOAV MORIAH},
  • Published 2006
The goal of this paper is to offer a comprehensive exposition of the current knowledge about Heegaard splittings of exteriors of knots in the 3-sphere. The exposition is done with a historical perspective as to how ideas developed and by whom. Several new notions are introduced and some facts about them are proved. In particular the concept of a 1/n-primitive meridian. It is then proved that if a knot K ⊂ S3 has a 1/n-primitive meridian; then nK = K# · · · #K n-times has a Heegaard splitting of… CONTINUE READING

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