A simple proof of the crowell–murasugi theorem

HIGHLIGHTS

  • Who: Thomas Kindred from the (UNIVERSITY) have published the Article: A simple proof of the Crowell-Murasugi theorem, in the Journal: (JOURNAL) of 19/08/2024

SUMMARY

    The authors give an elementary, self-contained proof of the theorem, proven independently in 1958-1959 by Crowell and Murasugi, that the genus of any oriented nonsplit alternating link equals half the breadth of its Alexander polynomial (with a correction term for the number of link components), and that applying Seifert`s algorithm to any oriented connected alternating link diagram gives a surface of minimal genus . . .

     

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