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math.AT2025
The homotopy fixed points of Real spin bordism
Hassan H. Abdallah, Yigal Kamel
We show that the 2-local splitting of spin bordism by Anderson--Brown--Peterson and Stong refines to a -equivariant map in the category of spectra with -action from R…
math.AT2025
On the nonexistence of a Green functor with values spin bordism and spin bordism
Hassan H. Abdallah, Zachary Halladay, Yigal Kamel
In this note, we show that there does not exist a -ring spectrum whose underlying ring spectrum is and whose -fixed point spectrum is .