nLab moduli space of Calabi-Yau spaces

Idea

A moduli space of Calabi-Yau spaces.

Related concepts

• Weil-Petersson metric

• flop transition

• mirror symmetry

• Calabi-Yau cohomology

moduli spaces

• moduli space of complex structures

• moduli space of conformal structures

• moduli space of curves

• moduli space of Riemannian metrics

• moduli stack of elliptic curves

• moduli space of Calabi-Yau spaces

• moduli stack of tori

• moduli stack of formal groups

• moduli space of connections, moduli space of flat connections

• Hitchin moduli space

• moduli space of monopoles

• moduli space of framed manifolds

• moduli space of bundles

• moduli space of (higher) line bundles

• quiver variety

References

• Shing-Tung Yau, Moduli of high dimensional Calabi-Yau manifolds

• Zhiqin Lu, Calabi-Yau moduli space, 2014 (pdf)

• Paul Aspinwall, Brian Greene, David Morrison, Calabi-Yau Moduli Space, Mirror Manifolds and Spacetime Topology Change in String Theory, Nucl.Phys. B416 (1994) 414-480 (arXiv:hep-th/9309097)

Discussion of relation to Shimura varieties includes

• Alice Garbagnati, Bert van Geemen, Examples of Calabi-Yau threefolds parametrised by Shimura varieties (arXiv:1005.0478)