13 citations · 26 across the 3 of their papers we have counts for
6 papers
Vassiliev Invariants from Symmetric Spaces
Indranil Biswas, Niels Leth Gammelgaard
We construct a natural framed weight system on chord diagrams from the curvature tensor of any pseudo-Riemannian symmetric space. These weight systems are of Lie algebra type and r…
The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory
Jørgen Ellegaard Andersen, Niels Leth Gammelgaard
We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In partic…
Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles
Indranil Biswas, Niels Leth Gammelgaard, Marina Logares
Let be a compact connected Riemann surface of genus at least two. Let denote the moduli space of semistable Higgs bundles on of rank and degree . We prove…
A Universal Formula for Deformation Quantization on Kähler Manifolds
Niels Leth Gammelgaard
We give an explicit local formula for any formal deformation quantization, with separation of variables, on a Kähler manifold. The formula is given in terms of differential operato…
Hitchin's Projectively Flat Connection, Toeplitz Operators and the Asymptotic Expansion of TQFT Curve Operators
Jørgen Ellegaard Andersen, Niels Leth Gammelgaard
In this paper, we will provide a review of the geometric construction, proposed by Witten, of the SU(n) quantum representations of the mapping class groups which are part of the Re…
Hitchin's Connection in Half-Form Quantization
Jørgen Ellegaard Andersen, Niels Leth Gammelgaard, Magnus Roed Lauridsen
We give a differential geometric construction of a connection in the bundle of quantum Hilbert spaces arising from half-form corrected geometric quantization of a prequantizable, s…