• Corpus ID: 237491789

On the asymptotics of the meromorphic 3D-index

@inproceedings{Hodgson2021OnTA,
  title={On the asymptotics of the meromorphic 3D-index},
  author={Craig Hodgson and Andrew J. Kricker and Rafał M. Siejakowski},
  year={2021}
}
In their recent work, Garoufalidis and Kashaev extended the 3D-index of an ideally triangulated 3-manifold with toroidal boundary to a well-defined topological invariant which takes the form of a meromorphic function of 2 complex variables per boundary component and which depends additionally on a quantisation parameter q. In this paper, we study the asymptotics of this invariant as q approaches 1, developing a conjectural asymptotic approximation in the form of a sum of contributions…