On the nonexistence of a Green functor with values spin$^c$ bordism and spin bordism
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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_ | 1866909760530415616 |
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| author | Abdallah, Hassan H. Halladay, Zachary Kamel, Yigal |
| author_facet | Abdallah, Hassan H. Halladay, Zachary Kamel, Yigal |
| contents | In this note, we show that there does not exist a $C_2$-ring spectrum whose underlying ring spectrum is $\mathrm{MSpin}^c$ and whose $C_2$-fixed point spectrum is $\mathrm{MSpin}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_12228 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the nonexistence of a Green functor with values spin$^c$ bordism and spin bordism Abdallah, Hassan H. Halladay, Zachary Kamel, Yigal Algebraic Topology In this note, we show that there does not exist a $C_2$-ring spectrum whose underlying ring spectrum is $\mathrm{MSpin}^c$ and whose $C_2$-fixed point spectrum is $\mathrm{MSpin}$. |
| title | On the nonexistence of a Green functor with values spin$^c$ bordism and spin bordism |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2502.12228 |