We compute the Azumaya loci of Kauffman-bracket skein algebras of closed
surfaces at odd roots of unity and provide partial results for open surfaces as
well. As applications, we give an alternative definition of the projective
representations of ...
Journal of Knot Theory and Its Ramifications 30(07) 2150055-2150055 2021年9月 [査読有り]
In 2004, Neumann showed that the complex hyperbolic volume of a hyperbolic 3-manifold [Formula: see text] can be obtained as the image of the Dijkgraaf–Witten invariant of [Formula: see text] by a certain 3-cocycle. After that, Zickert gave an ana...
International Journal of Mathematics 32(07) 2150042-2150042 2021年5月 [査読有り]
For the handlebody [Formula: see text] of genus [Formula: see text], Przytycki studied the (Kauffman bracket) skein module [Formula: see text] of the connected sum [Formula: see text] at [Formula: see text]. One of his results is that, in the case...
Journal of Knot Theory and Its Ramifications 30(03) 2150014-2150014 2021年4月 [査読有り]
Let [Formula: see text] be a closed oriented 3-manifold and let [Formula: see text] be a discrete group. We consider a representation [Formula: see text]. For a 3-cocycle [Formula: see text], the Dijkgraaf–Witten invariant is given by [Formula: se...
人文科学研究科
理学部