150 citations · 293 across the 11 of their papers we have counts for
13 papers
Fusion rules on a parametrized series of graphs
Marta Asaeda, Uffe Haagerup
A series of pairs of graphs (Gamma_k, Gamma'_k), k = 0,1,2,... has been considered as candidates for dual pairs of principal graphs of subfactors of small Jones index above 4 and i…
A quadrilateral in the Asaeda-Haagerup category
Marta Asaeda, Pinhas Grossman
We construct a noncommuting quadrilateral of factors whose upper sides are each the Asaeda-Haagerup subfactor with index by showing the existence of a Q-sy…
Notes on link homology
Marta Asaeda, Mikhail Khovanov
This article consists of six lectures on the categorification of the Burau representation and on link homology groups which categorify the Jones and the HOMFLY-PT polynomial. The n…
On Haagerup's list of potential principal graphs of subfactors
Marta Asaeda, Seidai Yasuda
We show that any graph, in the sequence given by Haagerup in 1991 as that of candidates of principal graphs of subfactors, is not realized as a principal graph except for the small…
Galois groups and an obstruction to principal graphs of subfactors
Marta Asaeda
The Galois group of the minimal polymonal of a Jones index value gives a new type of obstruction to a principal graph, thanks to a recent result of P.Etingof, D.Nikshych, and V.Ost…
A Note on the Bar-Natan Skein Module
Marta Asaeda, Charles Frohman
We introduce a new skein module for three manifolds based on properly embedded surfaces and their relations introduced by D.Bar-Natan, and modified by M.Khovanov. We compute the st…