Quantum Cohomology and Periods

By H. Iritani. 2011

75 citations recorded by the source corpus.

In a previous paper, the author introduced a Z-structure in quantum cohomology defined by the K-theory and the Gamma class and showed that it is compatible with mirror symmetry for toric orbifolds. Applying the quantum Lefschetz principle to the previous results, we find an explicit relationship between solutions to the quantum differential equation for toric complete intersections and the periods (or oscillatory integrals) of their mirrors. We describe in detail the mirror isomorphism of variations of Z-Hodge structure for a mirror pair of Calabi-Yau hypersurfaces (Batyrev's mirror).

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/7de6bd32ae8413ffd8bd1ce597cc939c8697dca7

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In Discrete Mathematics and Combinatorics

1. M. Romo
2. K. Hori

In Geometry and Topology

1. M. Romo
2. K. Hori
3. C. Vafa
4. Marcos Mariño
5. F. Benini
6. P. Seidel
7. J. Louis
8. Alberto Zaffaroni

Citations in the corpus

• Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary (2013, background): “In one of such development [8, 10], Iritani studied the D-brane central charge from the view point of Gromov-Witten theory, i.”