南方科技大学 // 数学系 // 学术会议 English

Geometry & Topology Seminar

1970/01/01-1970/01/01

Reducible PSL (2,C) representations and octahedral decompositions of knot complement

Abstract 

Octahedral decomposition is a way to triangulate a knot complement, which was originally inspired by  Kashaev volume conjecture. This octahedral decomposition leads us another understanding about PSL(2,C)-representations of a knot complement. In this talk, we discuss reducible representations and its equivariant pseudo-developing onto $\mathbb{H}^3$ through octahedral decomposition. From the approach, a new method computing Alexander polynomial will be introduced.