The real Brown-Peterson homology of ${\Omega }^{\rho }{S}^{\rho +1}$

Christian Carrick, Bertrand Guillou, Sarah Petersen

We compute the $RO(C_2)$-graded real Brown--Peterson homology of the representation-loop space ${\Omega }^{\rho }{S}^{\rho +1}$, where $\rho$ is the regular representation of the cyclic group of order t…