3 papers
math.GR2026
Presentations of the cactus Thompson group
Yuya Kodama, Akihiro Takano
We give infinite and finite presentations of the cactus Thompson group. This group was introduced as by Witzel and Zaremsky, who combined Thompson's group with…
math.GT2025
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…
math.GT2023
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…