19 citations · 24 across the 4 of their papers we have counts for
7 papers
Remarks on Legendrian Self-Linking
Chris Beasley, Brendan McLellan, Ruoran Zhang
The Thurston-Bennequin invariant provides one notion of self-linking for any homologically-trivial Legendrian curve in a contact three-manifold. Here we discuss related analytic no…
The Witten-Reshetikhin-Turaev invariant for links in finite order mapping tori I
Jørgen Ellegaard Andersen, Benjamin Himpel, Søren Fuglede Jørgensen +2
We state Asymptotic Expansion and Growth Rate conjectures for the Witten-Reshetikhin-Turaev invariants of arbitrary framed links in 3-manifolds, and we prove these conjectures for…
Abelian Analytic Torsion and Symplectic Volume
Brendan McLellan
This article studies the abelian analytic torsion on a closed, oriented, Sasakian three-manifold and identifies this quantity as a specific multiple of the natural unit symplectic…
Localization in Abelian Chern-Simons Theory
Brendan McLellan
Chern-Simons theory on a closed contact three-manifold is studied when the Lie group for gauge transformations is compact, connected and abelian. A rigorous definition of an abelia…
Eta-invariants and anomalies in U(1)-Chern-Simons theory
Lisa Jeffrey, Brendan McLellan
This paper studies U(1)-Chern-Simons theory and its relation to a construction of Chris Beasley and Edward Witten. The natural geometric setup here is that of a three-manifold with…
Gravitational Chern-Simons and the adiabatic limit
Brendan McLellan
We compute the gravitational Chern-Simons term explicitly for an adiabatic family of metrics using standard methods in general relativity. We use the fact that our base three-manif…