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Loop groups and equations of KdV type
On decrit une construction qui attribue une solution de l'equation de Korteweg-de Vries a chaque point d'un certain grassmannien de dimension infinie. On determine quelle classe on obtient par cette…
Equivariant K-theory
- G. Segal
- Mathematics
- 1968
The purpose of this thesis is to present a fairly complete account of equivariant K-theory on compact spaces. Equivariant K-theory is a generalisation of K-theory, a rather well-known cohomology…
Classifying spaces and spectral sequences
- G. Segal
- Mathematics
- 1968
© Publications mathematiques de l’I.H.E.S., 1968, tous droits reserves. L’acces aux archives de la revue « Publications mathematiques de l’I.H.E.S. » (http://www.…
Twisted K-theory
Twisted complex K-theory can be defined for a space X equipped with a bundle of complex projective spaces, or, equivalently, with a bundle of C ∗ -algebras. Up to equivalence, the twisting…
The topology of spaces of rational functions
- G. Segal
- Mathematics
- 1 December 1979
where a, and b t are complex numbers, defines a continuous map of degree n from the Riemann sphere S2=CtJ co to itself. I f the coefficients (a 1 .. . . . an; bl . . . . . bn) va ry cont inuously in…
The Definition of Conformal Field Theory
- G. Segal
- Physics
- 1988
I shall propose a definition of 2-dimensional conformal field theory which I believe is equivalent to that used by physicists.
Unitary representations of some infinite dimensional groups
- G. Segal
- Mathematics
- 1981
We construct projective unitary representations of (a) Map(S1;G), the group of smooth maps from the circle into a compact Lie groupG, and (b) the group of diffeomorphisms of the circle. We show that…
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