Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929664143917056 |
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| author | Cherkis, Sergey A. Larraín-Hubach, Andrés Stern, Mark |
| author_facet | Cherkis, Sergey A. Larraín-Hubach, Andrés Stern, Mark |
| contents | The index bundle of a family of Dirac operators associated to an instanton on a multi-Taub-NUT space forms a bow representation. We prove that the gauge equivalence classes of solutions of this bow representation are in one-to-one correspondence with the instantons.
We also prove that this correspondence establishes an isometry of the bow and instanton moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_02048 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry Cherkis, Sergey A. Larraín-Hubach, Andrés Stern, Mark Differential Geometry High Energy Physics - Theory 53C26, 53D20 The index bundle of a family of Dirac operators associated to an instanton on a multi-Taub-NUT space forms a bow representation. We prove that the gauge equivalence classes of solutions of this bow representation are in one-to-one correspondence with the instantons. We also prove that this correspondence establishes an isometry of the bow and instanton moduli spaces. |
| title | Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry |
| topic | Differential Geometry High Energy Physics - Theory 53C26, 53D20 |
| url | https://arxiv.org/abs/2308.02048 |