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 group completion theorem:
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:
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:
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
Volume: 258; (arXiv:math/9904185, ISBN:978-0-8218-2158-9)
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:
Andrew Pressley, Graeme Segal, Loop groups Oxford University Press (1988)
Graeme Segal, Loop groups (pdf)
On integrable functions in terms of infinitedimensional Sato-Segal-Wilson Grassmannian
On 2d conformal field theory and modular functors:
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:
Michael Atiyah, Graeme Segal, Twisted K-theory, Ukrainian Math. Bull. 1, 3 (2004) (arXiv:math/0407054, journal page, published pdf)
Michael Atiyah, Graeme Segal, Twisted K-theory and cohomology (arXiv:math/0510674)
On quantization of the electromagnetic field in view of Dirac charge quantization and higher U(1)-gauge theory:
Daniel S. Freed, Gregory W. Moore, Graeme Segal, p. 7 of: The Uncertainty of Fluxes, Commun. Math. Phys. 271:247-274, 2007 (arXiv:hep-th/0605198, doi:10.1007/s00220-006-0181-3)
Daniel Freed, Gregory Moore, Graeme Segal, Heisenberg Groups and Noncommutative Fluxes, Annals Phys. 322:236-285 (2007) (arXiv:hep-th/0605200)
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)
Last revised on May 6, 2023 at 03:06:32. See the history of this page for a list of all contributions to it.