Construction of projectively flat connections over U(n,n)/U(n) x U(n) and SO*(4n)/U(2n).

• Other Authors: So, Tse Leung.
• Format: Others
• Language: English; Chinese
• Published: 2010
• Subjects: Hilbert space; Symmetric spaces; Lie groups
• Online Access: http://library.cuhk.edu.hk/record=b5896641; http://repository.lib.cuhk.edu.hk/en/item/cuhk-327127

So, Tse Leung. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2010. === Includes bibliographical references (leaves 55-56). === Abstracts in English and Chinese. === Chapter 1 --- Geometric Quantization --- p.8 === Chapter 1.1 --- Motivation --- p.8 === Chapter 1.2 --- Prequantization --- p.10 === Chapter 1.3 --- Kahler Polarization --- p.14 === Chapter 1.4 --- Holomorphic Quantization and Fock Space --- p.17 === Chapter 1.4.1 --- Example: Fock Space --- p.19 === Chapter 2 --- Projectively Flat Connection --- p.21 === Chapter 2.1 --- Variation of Complex Structure --- p.21 === Chapter 2.2 --- Projectively Flat Connection on H --- p.24 === Chapter 2.2.1 --- Example of n= 1: --- p.30 === Chapter 3 --- Construction of Projectively Flat Connection --- p.34 === Chapter 3.1 --- Mechanism for Construction of Projectively Flat Con- nection --- p.34 === Chapter 3.2 --- K = C Case --- p.39 === Chapter 3.2.1 --- Identification of C´ؤlinear Complex Structures --- p.40 === Chapter 3.2.2 --- Projecitvely flat bundle on U(n)×U(n) --- p.43 === Chapter 3.2.3 --- Example of n=1 --- p.44 === Chapter 3.3 --- K = H Case --- p.45 === Chapter 3.3.1 --- Identification of H-linear Complex Structures --- p.46 === Chapter 3.3.2 --- Projecitvely flat bundle on SO*(4n) --- p.49 === Chapter 3.3.3 --- Example of n = 1 --- p.51 === Bibliography --- p.55