Robert Waldm\"uller
Products and push-forwards in twisted cohomology theories
Preprint series: Mathematica Gottingensis
Abstract: We define a symmetric monoidal structure on the stable parametrised homotopy category over a base space with an action of an $E_{\infty}$-operad. We discuss products,
orientations and push-forwards in parametrised cohomology theories corresponding to parametrised ring spectra. Finally, we construct parametrised ring spectra representing twisted K-theory and twisted Spinc-cobordism.
Keywords: Parametrised homotopy theory, twisted cohomology theories