Graeme Segal

Graeme Bryce Segal On classifying spaces and spectral sequences (and introducing, following Grothendicek 61, the “Segal conditions”, see also at complete Segal space): On the representation rings of compact Lie groups: On the Atiyah-Segal completion theorem: On the proper definition of group cohomology for topological groups: Graeme Segal: Cohomology of topological groups, in: Symposia Mathematica IV (INDAM, Rome, 1968/69) Academic Press (1970) 377-387 [pdf] Graeme Segal: A classifying space of a topological group in the Gel’fand-Fuks sense, Functional Analysis and its Applications 9 (1975) 131-133 [doi:10.1007/BF01075450] On equivariant stable homotopy theory and the isomorphism between the Burnside ring and the equivariant stable Cohomotopy of the point: On configuration spaces of points from iterated loop spaces: On the Kahn-Priddy theorem (and a pre-cursor of Snaith's theorem): On K-theory of permutative categories, Gamma spaces as models for connective spectra, and the identification of stable Cohomotopy with the K-theory of finite sets: On the group completion theorem: On equivariant homotopy theory motivated by equivariant iterated loop spaces and configuration spaces of points: Proving the equivariant Whitehead theorem: On the homotopy type of spaces of rational functions from the Riemann sphere to itself (related to the moduli space of monopoles in and to the configuration space of points in ): Graeme Segal, The topology of spaces of rational functions, Acta Math. 143 (1979) 39-72 [euclid:1485890033] Ralph L. Cohen, John D. S. Jones, Graeme B. Segal, Stability for holomorphic spheres and Morse theory, in: K. Grove, I. H. Madsen, E. K. Pedersen (eds.) Geometry and Topology: Aarhus, Contemporary Mathematics 258 [arXiv:math/9904185, ISBN:978-0-8218-2158-9] Early review of elliptic cohomology (with a speculation, in §6, about geometric realizations via functorial 2d CFT, cf.: What is an elliptic object?): On the ordinary cohomology of the moduli space of...