2 citations · 4 across the 9 of their papers we have counts for
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Metrics for quandles
Kohei Iwamoto, Ryoya Kai, Yuya Kodama
A quandle is an algebraic system originating in knot theory, which can be regarded as a generalization of the conjugation of groups. This structure naturally defines two subgroups…
The Lodha--Moore groups and their -adic generalizations are not SCY
Yuya Kodama, Akihiro Takano
A closed 4-manifold is symplectic Calabi--Yau (SCY) if its canonical class is trivial. Friedl and Vidussi proved that Thompson's group cannot be the fundamental group of any SC…
Alexander's theorem for stabilizer subgroups of Thompson's group
Yuya Kodama, Akihiro Takano
In 2017, Jones studied the unitary representations of Thompson's group and defined a method to construct knots and links from . One of his results is that any knot or link c…
The -colorable subgroup of Thompson's group and tricolorability of links
Yuya Kodama, Akihiro Takano
Starting from the work by Jones on representations of Thompson's group , subgroups of with interesting properties have been defined and studied. One of these subgroups is ca…
Virtual Thompson's group
Yuya Kodama, Akihiro Takano
For virtual knot theory, the virtual braid group was defined by generalizing the braid group. It was proved that any virtual link can be obtained by the closure of a virtual braid.…