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Calabi-Yau manifold
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Calabi-Yau manifold
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orbifold
Quotients by subgroups of SL2:
If \(X\) is a Calabi-Yau orbifold and \((Y, f)\) is a crepant resolution of \(X\), then \(Y\) has a family of Ricci-flat Kahler metrics which make it into a Calabi-Yau manifold. In the particular case where \(X\) is the quotient \(\mathbb{T}^{4} /(\mathbb{Z} / 2 \mathbb{Z})\), then the Kummer construction gives rise to a crepant resolution that happens to be the K3 surface. - files without tags
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Calabi-Yau
Why 10 dimensions: 4 from spacetime and 6 from a “small” Calabi-Yau threefold.
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2021 Topological Recursion Research Project
Application to Gromov-Witten invariants: the GW invariants of a Calabi-Yau threefold match the topological recursion invariants of the mirror, which is a spectral curve.