Degree
Doctor of Philosophy
Program
Mathematics
Supervisor
Tatyana Barron
Abstract
This thesis is concerned with quantization of two types of multisymplectic manifolds that have multisymplectic forms coming from a Kahler form. In chapter 2 we show that in both cases they can be quantized using Berezin-Toeplitz quantization and that the quantizations have reasonable semiclassical properties.
In the last chapter of this work, we obtain two additional results. The first concerns the deformation quantization of the (2n-1)-plectic structure that we examine in chapter 2, we make the first step toward the definition of a star product on the Nambu-Poisson algebra (C^{\infty}(M),{.,...,.}). The second result concerns the algebraic properties of the generalized commutator.
Recommended Citation
Serajelahi, Baran, "Quantization of two types of Multisymplectic manifolds" (2015). Electronic Thesis and Dissertation Repository. 3108.
https://ir.lib.uwo.ca/etd/3108