# nLab Graeme Segal

Selected writings

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)
• 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:

• Graeme Segal, Equivariant K-theory, Inst. Hautes Etudes Sci. Publ. Math. No. 34 (1968) p. 129-151
• Michael Atiyah, Graeme Segal, Equivariant $K$-theory and completion, J. Differential Geom. Volume 3, Number 1-2 (1969), 1-18. (Euclid)

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)
• 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:

On the homotopy type of spaces of rational functions from the Riemann sphere to itself (related to the moduli space of monopoles in $\mathbb{R}^3$ and to the configuration space of points in $\mathbb{R}^2$):

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

• Graeme Segal, Two-dimensional conformal field theories and modular functors, in: IXth International Congress on Mathematical Physics (Swansee 1988), Hilger, Bristol 1989, pp. 22-37

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, Two-dimensional conformal field theories and modular functors , in Proceedings of the IXth International Congress on Mathematical Physics , Swansea, 1988, Hilger, Bristol (1989) 22-37.

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

On Wick rotation 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 September 22, 2022 at 10:19:09. See the history of this page for a list of all contributions to it.