7 citations · 8 across the 4 of their papers we have counts for
7 papers
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,…
Polyhedra in physics, chemistry and geometry
Michael Atiyah, Paul Sutcliffe
In this article we review some problems in physics, chemistry and mathematics that lead naturally to a class of polyhedra which include the Platonic solids. Examples include the st…
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.
Projective planes, Severi varieties and spheres
Michael Atiyah, Jurgen Berndt
A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the…
Nahm's equations, configuration spaces and flag manifolds
Michael Atiyah, Roger Bielawski
We give a positive answer to the Berry-Robbins problem for any compact Lie group G, i.e. we show the existence of a smooth W-equivariant map from the space of regular triples in a…
Equivariant Cohomology and Representations of the Symmetric Group
Michael Atiyah
A cohomological study is made of an equivariant map betwen the configuration space of n points in space and the flag manifold of U(n).