Gromov-Witten Theory of Quotients of Fermat Calabi-Yau Varieties

· · ·
· American Mathematical Soc.
Ebook
92
Pages

About this ebook

Gromov-Witten theory started as an attempt to provide a rigorous mathematical foundation for the so-called A-model topological string theory of Calabi-Yau varieties. Even though it can be defined for all the Kähler/symplectic manifolds, the theory on Calabi-Yau varieties remains the most difficult one. In fact, a great deal of techniques were developed for non-Calabi-Yau varieties during the last twenty years. These techniques have only limited bearing on the Calabi-Yau cases. In a certain sense, Calabi-Yau cases are very special too. There are two outstanding problems for the Gromov-Witten theory of Calabi-Yau varieties and they are the focus of our investigation.  
Gromov-Witten theory started as an attempt to provide a rigorous mathematical foundation for the so-called A-model topological string theory of Calabi-Yau varieties. Even though it can be defined for all the Kähler/symplectic manifolds, the theory on Calabi-Yau varieties remains the most difficul...

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About the author

Kyoto University, Kyoto, Japan

The University of Tokyo, Chiba, Japan

University of Michigan, Ann Arbor, Michigan

Stanford University, Stanford, California

Kyoto University, Kyoto, Japan The University of Tokyo, Chiba, Japan University of Michigan, Ann Arbor, Michigan Stanford University, Stanford, California

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