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| Paper IPM / M / 16956 |
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| Abstract: | |
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We show that, at the prime p=2, the spectrum Σ−nD(n) splits off the Madsen-Tillmann spectrum MTO(n)=BO(n)−γn which is compatible with the classic splitting of M(n) off BO(n)+. For n=2, together with our previous splitting result on Madsen-Tillmann spectra, this shows that MTO(2) is homotopy equivalent to BSO(3)+∨Σ−2D(2).
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