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arXiv · 2502.12228

On the nonexistence of a Green functor with values spin$^c$ bordism and spin bordism

Hassan H. Abdallah·Zachary Halladay·Yigal Kamel
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Abstract

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 $\mathrm{MSpin}$.

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Hassan H. Abdallah, Zachary Halladay, Yigal Kamel. 2025-02-17. On the nonexistence of a Green functor with values spin$^c$ bordism and spin bordism. https://arxiv.org/abs/2502.12228

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