Eigenvalues and eigenforms on Calabi-Yau threefolds
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913549006143488 |
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| author | Ashmore, Anthony |
| author_facet | Ashmore, Anthony |
| contents | We present a numerical algorithm for computing the spectrum of the Laplace-de Rham operator on Calabi-Yau manifolds, extending previous work on the scalar Laplace operator. Using an approximate Calabi-Yau metric as input, we compute the eigenvalues and eigenforms of the Laplace operator acting on $(p,q)$-forms for the example of the Fermat quintic threefold. We provide a check of our algorithm by computing the spectrum of $(p,q)$-eigenforms on $\mathbb{P}^{3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_13929 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Eigenvalues and eigenforms on Calabi-Yau threefolds Ashmore, Anthony High Energy Physics - Theory Differential Geometry We present a numerical algorithm for computing the spectrum of the Laplace-de Rham operator on Calabi-Yau manifolds, extending previous work on the scalar Laplace operator. Using an approximate Calabi-Yau metric as input, we compute the eigenvalues and eigenforms of the Laplace operator acting on $(p,q)$-forms for the example of the Fermat quintic threefold. We provide a check of our algorithm by computing the spectrum of $(p,q)$-eigenforms on $\mathbb{P}^{3}$. |
| title | Eigenvalues and eigenforms on Calabi-Yau threefolds |
| topic | High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2011.13929 |