Mathematics – Algebraic Topology
Scientific paper
2006-11-08
Mathematics
Algebraic Topology
59 pages, PhD thesis, Goettingen 2006
Scientific paper
We define a symmetric monoidal structure on the parametrised stable 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.
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