Fetching the paper…
Reading the bibliography…
By using the notion of a rigid R-matrix in a monoidal category and the Reshetikhin--Turaev functor on the category of tangles, we review the definition of the associated invariant of long knots.
Abstraction of symmetric transformations
Mituhisa Takasaki · 1943
Earlier work this paper cites.
A classifying invariant of knots, the knot quandle
David Joyce · 1982
Earlier work this paper cites.
Distributive groupoids in knot theory
S. V. Matveev · 1982
Earlier work this paper cites.
A universal link invariant using quantum groups
R. J. Lawrence · 1989
Earlier work this paper cites.
Quasitriangular Hopf algebras and invariants of links
N. Yu. Reshetikhin · 1989
Earlier work this paper cites.
Tangles, links and twisted quantum groups
H. C. Lee · 1990
Earlier work this paper cites.
Ribbon graphs and their invariants derived from quantum groups
N. Yu. Reshetikhin and V. G. Turaev · 1990
Cited alongside, same era.
Racks and links in codimension two
Roger Fenn and Colin Rourke · 1992
Cited alongside, same era.
Colored ribbon Hopf algebras and universal invariants of framed links
Tomotada Ohtsuki · 1993
Cited alongside, same era.
Tangles and Hopf algebras in braided categories
Volodimir Lyubashenko · 1995
Cited alongside, same era.
Foundations of quantum group theory
Shahn Majid · 1995
Cited alongside, same era.
On the Melvin-Morton-Rozansky conjecture
Dror Bar-Natan and Stavros Garoufalidis · 1996
Cited alongside, same era.
Hopf algebras
Sorin Dăscălescu, Constantin Năstăsescu, and Şerban Raianu · 2001
Later among the works it cites.
Hopf diagrams and quantum invariants
Alain Bruguières and Alexis Virelizier · 2005
Later among the works it cites.
Bottom tangles and universal invariants
Kazuo Habiro · 2006
Later among the works it cites.
Kirby elements and quantum invariants
Alexis Virelizier · 2006
Later among the works it cites.
Asymptotics of the colored Jones function of a knot
Stavros Garoufalidis and Thang T. Q. Lê · 2011
Later among the works it cites.
R R -matrix knot invariants and triangulations
R. M. Kashaev · 2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…