An end to end gluing construction for metrics of constant Q-curvature
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917953618837504 |
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| author | Aiken, A. Sophie Caju, Rayssa Ratzkin, Jesse Santos, Almir Silva |
| author_facet | Aiken, A. Sophie Caju, Rayssa Ratzkin, Jesse Santos, Almir Silva |
| contents | We produce many new complete, constant Q-curvature metrics on finitely punctured spheres by gluing together known examples. In our construction we truncate one end of each summand and glue the two summands together "end-to-end," where we've truncated them. We use this construction to show that the unmarked moduli space of solutions with a fixed number of punctures is topologically nontrivial provided the number of punctures is at least four. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_09234 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An end to end gluing construction for metrics of constant Q-curvature Aiken, A. Sophie Caju, Rayssa Ratzkin, Jesse Santos, Almir Silva Differential Geometry Analysis of PDEs 53C18, 58D17, 58D27 We produce many new complete, constant Q-curvature metrics on finitely punctured spheres by gluing together known examples. In our construction we truncate one end of each summand and glue the two summands together "end-to-end," where we've truncated them. We use this construction to show that the unmarked moduli space of solutions with a fixed number of punctures is topologically nontrivial provided the number of punctures is at least four. |
| title | An end to end gluing construction for metrics of constant Q-curvature |
| topic | Differential Geometry Analysis of PDEs 53C18, 58D17, 58D27 |
| url | https://arxiv.org/abs/2503.09234 |