39 citations · 97 across the 17 of their papers we have counts for
4 papers · 1 filter
Asymptotics of Toeplitz operators and applications in TQFT
Jørgen Ellegaard Andersen, Jakob Blaavand
In this paper we provide a review of asymptotic results of Toeplitz operators and their applications in TQFT. To do this we review the differential geometric construction of the Hi…
Cohomology of mapping class groups and the abelian moduli space
Jørgen Ellegaard Andersen, Rasmus Villemoes
We consider a surface of genus , either closed or with exactly one puncture. The mapping class group of acts symplectically on the abelian moduli space $M = \…
Hitchin's connection, Toeplitz operators and symmetry invariant deformation quantization
Jorgen Ellegaard Andersen
We establish that Hitchin's connection exist for any rigid holomorphic family of Kahler structures on any compact pre-quantizable symplectic manifold which satisfies certain simple…
Geometric construction of modular functors from Conformal Field Theory
Jorgen Ellegaard Andersen, Kenji Ueno
This is the second paper in a series of papers aimed at providing a geometric construction of modular functors and topological quantum field theories from conformal field theory bu…