Sharp signature bound for positive four-braids derived from three-braids.
arXiv research
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Effective bounds on braid invariants and entropy derived from syllable decomposition.
Twisted links are obtained from a base link by starting with a -braid representation, choosing several () adjacent strands, and applying one or more twists to the set. Various restrictions may be applied, e.g. the twists may be required to be positive or full twists, or the base braid may be required to have a ce…
Associated with each oriented link is the two variable Homflypt polynomial. The Morton-Franks-Williams (MFW) inequality gives rise to an expression for the Homflypt polynomial with MFW coefficient polynomials. These MFW coefficient polynomials are labelled in a braid-dependent manner and may be zero, but display a numb…
New method calculates colored HOMFLY polynomials for knots drawn as double fat graphs.