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

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327127
Date January 2010
ContributorsSo, Tse Leung., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 56 leaves ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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