23 citations · 257 across the 67 of their papers we have counts for
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math.GT2012★ 11 cited
Essential open book foliation and fractional Dehn twist coefficient
Tetsuya Ito, Keiko Kawamuro
We introduce an essential open book foliation, a refinement of the open book foliation, and develop technical estimates of the fractional Dehn twist coefficient (FDTC) of monodromi…
math.GR2012
Reading the dual Garside length of braids from homological and quantum representations
Tetsuya Ito
We show that Lawrence's representation and linear representations from quantum sl_2 called generic highest weight vectors detect the dual Garside length of braids in a simple and n…
math.GR2012★ 4 cited
Lawrence-Krammer-Bigelow representations and dual Garside length of braids
Tetsuya Ito, Bert Wiest
We show that the span of the variable in the Lawrence-Krammer-Bigelow representation matrix of a braid is equal to the twice of the dual Garside length of the braid, as was con…