• DOI:10.1142/S021821651550011X
Corpus ID: 119320887

Knot projections with a single multi-crossing

@article{Adams2012KnotPW,
  title={Knot projections with a single multi-crossing},
  author={C. Adams and T. Crawford and B. Demeo and M. Landry and A. Lin and MurphyKate Montee and Seojung Park and S. Venkatesh and Farrah Yhee},
  journal={Journal of Knot Theory and Its Ramifications},
  year={2012},
  volume={24},
  pages={1550011}
}

C. Adams, T. Crawford, +6 authors Farrah Yhee

Published 2012

Mathematics

Journal of Knot Theory and Its Ramifications

An n-crossing is a singular point in a projection of a link at which n strands cross such that each strand travels straight through the crossing. We introduce the notion of an ubercrossing projection, a knot projection with a single n-crossing. Such a projection is necessarily composed of a collection of loops emanating from the crossing. We prove the surprising fact that all knots have a special type of ubercrossing projection, which we call a petal projection, in which no loops contain any… CONTINUE READING

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