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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2104.05984 |
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| _version_ | 1866913416551071744 |
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| author | Dove, Tom Schick, Thomas |
| author_facet | Dove, Tom Schick, Thomas |
| contents | We introduce a new `Thom class' formulation of topological T-duality for principal torus bundles. This definition is equivalent to the established one of Bunke, Rumpf, and Schick but has the virtue of removing the global assumptions on the H-flux required in the old definition. With the new definition, we provide easier and more transparent proofs of the classification of T-duals and generalise the local formulation of T-duality for circle bundles by Bunke, Schick, and Spitzweck to the torus case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_05984 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A new approach to topological T-duality for principal torus bundles Dove, Tom Schick, Thomas Geometric Topology High Energy Physics - Theory Mathematical Physics We introduce a new `Thom class' formulation of topological T-duality for principal torus bundles. This definition is equivalent to the established one of Bunke, Rumpf, and Schick but has the virtue of removing the global assumptions on the H-flux required in the old definition. With the new definition, we provide easier and more transparent proofs of the classification of T-duals and generalise the local formulation of T-duality for circle bundles by Bunke, Schick, and Spitzweck to the torus case. |
| title | A new approach to topological T-duality for principal torus bundles |
| topic | Geometric Topology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2104.05984 |