2 citations · 3 across the 8 of their papers we have counts for
8 papers
Real quadratic fields and finite quantum dilogarithms I
Danylo Radchenko, Campbell Wheeler
We prove that Stark--Shintani ray class invariants (Stark units) associated to real quadratic fields are algebraic numbers. These invariants are given by special values of Faddeev'…
A lift of the colored Jones polynomial of a knot
Stavros Garoufalidis, Campbell Wheeler
Habiro lifted the Witten-Reshetikhin-Turaev invariant of an integer homology 3-sphere (a complex-valued function on the set of complex roots of unity) to an element of the Habiro r…
Explicit classes in Habiro cohomology
Stavros Garoufalidis, Campbell Wheeler
We propose a cycle description of the Habiro cohomology of a smooth variety over the spectrum of an étale -algebra and construct explicit nontrivial cycles using eith…
The Habiro ring of a number field
Stavros Garoufalidis, Peter Scholze, Campbell Wheeler +1
We introduce the Habiro ring of a number field and modules over it graded by . Elements of these modules are collections of power series at each compl…
Summability for State Integrals of hyperbolic knots
Veronica Fantini, Campbell Wheeler
We prove conjectures of Garoufalidis-Gu-Mariño that perturbative series associated with the hyperbolic knots and are resurgent and Borel summable. In the process, we gi…
Quantum Modularity for a Closed Hyperbolic 3-Manifold
Campbell Wheeler
This paper proves quantum modularity of both functions from and -series associated to the closed manifold obtained by surgery on the figure-eight kno…
Perturbative invariants of cusped hyperbolic 3-manifolds
Stavros Garoufalidis, Matthias Storzer, Campbell Wheeler
We prove that a formal power series associated to an ideally triangulated cusped hyperbolic 3-manifold (together with some further choices) is a topological invariant. This formal…
Resurgence, Habiro elements and strange identities
Samuel Crew, Veronica Fantini, Ankush Goswami +2
We prove resurgence properties for the Borel transform of a formal power series associated to elements in the Habiro ring that come from radial limits of partial theta series via s…