2 citations · 2 across the 9 of their papers we have counts for
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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.…
The Long--Moody construction and twisted Alexander invariants
Akihiro Takano
In 1994, Long and Moody introduced a method to construct a new representation of the braid group from the representation of the braid group or the semidirect product of the braid g…
Extensions of Tong-Yang-Ma representation
Arthur Soulié, Akihiro Takano
In 1996, Tong, Yang and Ma defined a family of representations of the braid group which have the same dimensions as the (unreduced) Burau representations but are not equivalent. Th…