1 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
The Structure of Noncommutative Deformations
Eli Hawkins
Noncommutatively deformed geometries, such as the noncommutative torus, do not exist generically. I showed in a previous paper that the existence of such a deformation implies comp…
Quantization of Multiply Connected Manifolds
Eli Hawkins
The standard (Berezin-Toeplitz) geometric quantization of a compact Kaehler manifold is restricted by integrality conditions. These restrictions can be circumvented by passing to t…
Noncommutative Rigidity
Eli Hawkins
Using very weak criteria for what may constitute a noncommutative geometry, I show that a pseudo-Riemannian manifold can only be smoothly deformed into noncommutative geometries if…
The Correspondence between Geometric Quantization and Formal Deformation Quantization
Eli Hawkins
Using the classification of formal deformation quantizations, and the formal, algebraic index theorem, I give a simple proof as to which formal deformation quantization (modulo iso…