A Hopf index for isotropic sections of orthogonal bundles
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912249525829632 |
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| author | Kool, Martijn Oh, Jeongseok Rennemo, Jørgen Vold Thomas, Richard P |
| author_facet | Kool, Martijn Oh, Jeongseok Rennemo, Jørgen Vold Thomas, Richard P |
| contents | The Hopf index equates the multiplicity of a zero of a section of a vector bundle with a winding number. We give eight analogues for isotropic sections of bundles with quadratic form. There are applications to cosection localised virtual cycles and to DT$^4$ virtual cycles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13050 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Hopf index for isotropic sections of orthogonal bundles Kool, Martijn Oh, Jeongseok Rennemo, Jørgen Vold Thomas, Richard P Algebraic Geometry Algebraic Topology 55M25, 14N35 The Hopf index equates the multiplicity of a zero of a section of a vector bundle with a winding number. We give eight analogues for isotropic sections of bundles with quadratic form. There are applications to cosection localised virtual cycles and to DT$^4$ virtual cycles. |
| title | A Hopf index for isotropic sections of orthogonal bundles |
| topic | Algebraic Geometry Algebraic Topology 55M25, 14N35 |
| url | https://arxiv.org/abs/2502.13050 |