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math.KT2004
Twisted -theory
Michael Atiyah, Graeme Segal
Twisted complex -theory can be defined for a space equipped with a bundle of complex projective spaces, or, equivalently, with a bundle of C-algebras. Up to equivalence,…
math.KT2003
A Variant of K-theory: K_{+-}
Michael Atiyah, Michael Hopkins
We describe a variant of K-theory for spaces with involution, built from vector bundles which are sent to their negative under the involution.
math.KT2000
K-Theory Past and Present
Michael Atiyah
A brief account of K-theory written in honour of Friedrich Hirzebruch