Ma, Ding. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (p. 59-60). / Abstracts in English and Chinese. / Chapter 1 --- Generalized complex structures --- p.8 / Chapter 1.1 --- Maximal isotropic subspaces of V+ V* --- p.8 / Chapter 1.2 --- Courant bracket --- p.12 / Chapter 1.3 --- Dirac structures --- p.17 / Chapter 1.4 --- Linear generalized complex structures and almost gen- eralized complex structures --- p.19 / Chapter 1.5 --- Integrability conditions --- p.23 / Chapter 2 --- L∞-algebra --- p.25 / Chapter 2.1 --- Original definition of L∞-algebra in terms of lots of brackets --- p.25 / Chapter 2.2 --- Reformulation in terms of differential coalgebra --- p.27 / Chapter 2.3 --- Reformulation in terms of differential algebra --- p.28 / Chapter 2.4 --- Associating T+T* a Lie 2-algebra --- p.29 / Chapter 3 --- Generalized symplectic structures --- p.33 / Chapter 3.1 --- Linear generalized symplectic structures --- p.33 / Chapter 3.2 --- Generalized almost symplectic structures --- p.39 / Chapter 3.3 --- Generalized exterior derivatives and integrability con- ditions --- p.42 / Chapter 3.4 --- Generalized Darboux theorem --- p.45 / Chapter 3.5 --- Generalized Lagrangian submanifolds --- p.46 / Chapter 3.6 --- Generalized moment maps --- p.50 / Chapter 4 --- Generalized Kahler structures --- p.55 / Chapter 4.1 --- Definitions and integrability conditions --- p.55 / Bibliography --- p.59
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_327086 |
| Date | January 2011 |
| Contributors | Ma, Ding., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 60 p. ; 30 cm. |
| Rights | Use 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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