En genera

Chadwick, Steven Greg¹ ; Mandell, Michael A²

¹ Department of Mathematics, University of Maryland, 4176 Campus Drive – Mathematics Building, College Park, MD 20742-4015, USA
² Department of Mathematics, Indiana University, Rawles Hall, 831 E 3rd St, Bloomington, IN 47405, USA

Geometry & topology, Tome 19 (2015) no. 6, pp. 3193-3232.

Résumé

Let $R$ be an $E_2$ ring spectrum with zero odd-dimensional homotopy groups. Every map of ring spectra $MU\to R$ is represented by a map of $E_2$ ring spectra. If $2$ is invertible in ${\pi }_{0}R$, then every map of ring spectra $MSO\to R$ is represented by a map of $E_2$ ring spectra.

Détail

DOI : 10.2140/gt.2015.19.3193

Classification : 55N22, 55P43
Keywords: genus, complex cobordism, oriented cobordism, $E_n$ ring spectrum, Thom spectrum, operadic algebra

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