WebMar 1, 2010 · In this paper, Hamiltonian monodromy is addressed from the point of view of geometric quantization, and various differential geometric aspects thereof are dealt with, all related to holonomies of suitable flat connections. ... Flat connections and geometric quantization. Comm. Math. Phys., 131 (1990), pp. 347-380. View Record in Scopus … WebDec 24, 2015 · A correspondence between three-dimensional flat connections and constant curvature four-dimensional simplices is used to give a novel quantization of geometry via complex SL(2,C) Chern-Simons theory. The resulting quantum geometrical states are hence represented by the 3d blocks of analytically continued Chern-Simons …
Geometric quantization - Wikipedia
WebGeometric quantization is one formalization of the notion of quantization of a classical mechanical system/classical field theory to a quantum mechanical system/quantum field … WebUsing the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemann surface we construct a projectively flat connection on a vector bundle … tizanidine capsule vs tablets interchangeable
[1512.07690] SL(2,C) Chern-Simons Theory, Flat Connections, and …
WebOct 29, 2024 · These notes give an introduction to the quantization procedure called geometric quantization. It gives a definition of the mathematical background for its understanding and introductions to classical and quantum mechanics, to differentiable manifolds, symplectic manifolds and the geometry of line bundles and connections. … Webflat connections and geometric-quantization Abstract: Using the space of holomorphic symmetric tensors on the moduli space of stable bundles over a Riemann surface we … WebGeometric quantization is a tool for understanding the relation between classical physics and quantum physics. Here’s a brief sketch of how it goes. We start with a classical phase space: mathematically, this is a manifold X with a symplectic structure ω. tizanidine class of drug