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

Hassan H. Abdallah, Zachary Halladay, Yigal Kamel

公開日: 2025/2/17

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 $\mathrm{MSpin}$.

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