Splitting the Madsen-Tillmann Spectra $MT{\theta }_n$

Jonathan Sejr Pedersen, Andrew Senger

We prove that the Madsen-Tillmann spectrum $MT{\theta }_n$ splits into the sum of spectra ${\Sigma }^{-2n}MO⟨n+1⟩\oplus {\Sigma }^{\infty -2n}\mathbb{R}{P}_{2n}^{\infty }$ after Postnikov trunct…