Period Integrals and Tautological Systems

Bong H. Lian Brandeis University Ruifang Song Harvard University Shing-Tung Yau Harvard University


We study period integrals of CY hypersurfaces in a partial flag variety. We construct a holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations have lead us to the notion of a tautological system.
Period Integrals, Tautological Systems
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  title={Period Integrals and Tautological Systems},
  author={Bong H. Lian, Ruifang Song, and Shing-Tung Yau},
Bong H. Lian, Ruifang Song, and Shing-Tung Yau. Period Integrals and Tautological Systems. 2012.
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