nLab Graeme Segal

Selected writings
Graeme Segal in Berkely, 1982

Wikimedia Commons image, taken by

George Bergman

in 1982

Selected writings

On classifying spaces and spectral sequences (and introducing, following Grothendicek 61, the “Segal conditions”, see also at complete Segal space):

  • Graeme Segal, Classifying spaces and spectral sequences, Inst. Hautes Études Sci. Publ. Math., vol. 34, pp. 105–112 (1968)

On the representation rings of compact Lie groups:

  • Graeme Segal, The representation ring of a compact Lie group, Publications Mathématiques de l’Institut des Hautes Études Scientifiques, January 1968, Volume 34, Issue 1, pp 113-128 (numdam:PMIHES_1968__34__113_0)

On the group completion theorem:

On equivariant K-theory:

  • Graeme Segal, Equivariant K-theory, Inst. Hautes Etudes Sci. Publ. Math. No. 34 (1968) p. 129-151

On the Atiyah-Segal completion theorem:

On equivariant stable homotopy theory and the isomorphism between the Burnside ring and the equivariant stable Cohomotopy of the point:

  • Graeme Segal, Equivariant stable homotopy theory, Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 59–63. Gauthier-Villars, Paris, 1971 (pdf)

On configuration spaces of points from iterated loop spaces:

  • Graeme Segal, Configuration-spaces and iterated loop-spaces, Invent. Math. 21 (1973), 213–221. MR 0331377 (pdf)

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:

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 3\mathbb{R}^3 and to the configuration space of points in 2\mathbb{R}^2):

On the ordinary cohomology of the moduli space of Yang-Mills monopoles:

On equivariant bundles with abelian structure group:

On loop groups of compact Lie groups and their Kac-Moody group central extension:

On integrable functions in terms of infinitedimensional Sato-Segal-Wilson Grassmannian

On 2d conformal field theory and modular functors:

  • Graeme Segal, Two-dimensional conformal field theories and modular functors, in: IXth International Congress on Mathematical Physics, Swansea 1988, Adam Hilger, Bristol and New York (1989) 22–37 [pdf, pdf]

Further on the functorial-definition of 2d conformal field theory:

  • Graeme Segal, The definition of conformal field theory, in: K. Bleuler, M. Werner (eds.), Differential geometrical methods in theoretical physics (Proceedings of Research Workshop, Como 1987), NATO Adv. Sci. Inst., Ser. C: Math. Phys. Sci. 250 Kluwer Acad. Publ., Dordrecht (1988) 165-171 [[doi:10.1007/978-94-015-7809-7]]

  • Graeme Segal, The definition of conformal field theory, in: Ulrike Tillmann (ed.), Topology, geometry and quantum field theory , London Math. Soc. Lect. Note Ser. 308, Cambridge University Press (2004) 421-577 [[doi:10.1017/CBO9780511526398.019, pdf, pdf]]

On twisted K-theory and twisted equivariant K-theory:

On quantization of the electromagnetic field in view of Dirac charge quantization and higher U(1)-gauge theory:

On Wick rotation in quantum field theory in terms of complex metrics:

review talks:

  • Graeme Segal, Wick rotation and the positivity of energy in quantum field theory, talk at Institut des Hautes Études Scientifiques (IHÉS), June 2014 (video recording)

  • Graeme Segal, Wick Rotation and the Positivity of Energy in Quantum Field Theory, talk at IAS Physics Group Meeting, December 2021 (video recording)

category: people

Last revised on November 16, 2023 at 05:05:39. See the history of this page for a list of all contributions to it.