Arithmetic Properties of Moduli Spaces and Topological String Partition Functions of Some Calabi-Yau Threefolds

Description

This thesis studies certain aspects of the global properties, including geometric and arithmetic, of the moduli spaces of complex structures of some special Calabi-Yau threefolds (B-model), and of the corresponding topological string partition functions defined from them which are closely related to the generating functions of Gromov-Witten invariants of their mirror Calabi-Yau threefolds (A-model) by the mirror symmetry conjecture. / Mathematics

Links & Downloads

1. Zhou, Jie. 2014. Arithmetic Properties of Moduli Spaces and Topological String Partition Functions of Some Calabi-Yau Threefolds. Doctoral dissertation, Harvard University.
2. http://dissertations.umi.com/gsas.harvard:11352
3. http://nrs.harvard.edu/urn-3:HUL.InstRepos:12274581

Tags

Mathematics

Theoretical physics

arithmetic

Calabi-Yau

modularity

moduli space

partition function

Additional Fields

Identifer	oai:union.ndltd.org:harvard.edu/oai:dash.harvard.edu:1/12274581
Date	06 June 2014
Creators	Zhou, Jie
Contributors	Yau, Shing-Tung
Publisher	Harvard University
Source Sets	Harvard University
Language	en_US
Detected Language	English
Type	Thesis or Dissertation
Rights	open