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Modular Forms and String Duality
About this Title
Noriko Yui, Queen’s University, Kingston, ON, Canada, Helena Verrill, Louisiana State University, Baton Rouge, LA and Charles F. Doran, University of Washington, Seattle, WA, Editors
Publication: Fields Institute Communications
Publication Year:
2008; Volume 54
ISBNs: 978-0-8218-4484-7 (print); 978-1-4704-3088-7 (online)
DOI: https://doi.org/10.1090/fic/054
MathSciNet review: MR2478453
MSC: Primary 11-06; Secondary 14-06, 81T30, 81T45
Table of Contents
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Front/Back Matter
Aspects of arithmetic and modular forms
- Shabnam Kadir and Noriko Yui – Motives and mirror symmetry for Calabi–Yau orbifolds
- Savan Kharel, Monika Lynker and Rolf Schimmrigk – String modular motives of mirrors of rigid Calabi–Yau varieties
- Edward Lee – Update on modular non-rigid Calabi–Yau threefolds
- Ling Long – Finite index subgroups of the modular group and their modular forms
Aspects of geometric and differential equations
- Gert Almkvist, Duco van Straten and Wadim Zudilin – Apéry limits of differential equations of order 4 and 5
- Jan Stienstra – Hypergeometric systems in two variables, quivers, dimers and dessins d’enfants
- Don Zagier and Aleksey Zinger – Some properties of hypergeometric series associated with mirror symmetry
- Wadim Zudilin – Ramanujan-type formulae for $1/\pi$: A second wind?
Aspects of physics and string theory
- Matthew Ballard – Meet homological mirror symmetry
- Vincent Bouchard – Orbifold Gromov–Witten invariants and topological strings
- Terry Gannon – Conformal field theory and mapping class groups
- Sergi Gukov and Hitoshi Murakami – $SL(2,\mathbb {C})$ Chern–Simons theory and the asymptotic behavior of the colored Jones polynomial
- Johannes Walcher – Open strings and extended mirror symmetry