Algebraic vector bundles and $p$-local A^1-homotopy theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866917981571776512 |
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| author | Asok, Aravind Fasel, Jean Hopkins, Michael J. |
| author_facet | Asok, Aravind Fasel, Jean Hopkins, Michael J. |
| contents | Using techniques of A^1-homotopy theory, we produce motivic lifts of elements in classical homotopy groups of spheres; these lifts provide polynomial maps of spheres and allow us to construct ``low rank'' algebraic vector bundles on ``simple'' smooth affine varieties of high dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_03363 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Algebraic vector bundles and $p$-local A^1-homotopy theory Asok, Aravind Fasel, Jean Hopkins, Michael J. Algebraic Geometry Algebraic Topology K-Theory and Homology 14F42, 32L05, 55R25, 13C10 Using techniques of A^1-homotopy theory, we produce motivic lifts of elements in classical homotopy groups of spheres; these lifts provide polynomial maps of spheres and allow us to construct ``low rank'' algebraic vector bundles on ``simple'' smooth affine varieties of high dimension. |
| title | Algebraic vector bundles and $p$-local A^1-homotopy theory |
| topic | Algebraic Geometry Algebraic Topology K-Theory and Homology 14F42, 32L05, 55R25, 13C10 |
| url | https://arxiv.org/abs/2008.03363 |