Publications Graeme Segal All Souls College, Oxford [1 ] Classifying spaces and spectral sequences. Inst. Hautes Études Sci., Publ. Math. No. 34, 1968, 105 112. [2 ] Equivariant K-theory. Inst. Hautes 34, 1968, 129 151. Études Sci., Publ. Math. No. [3 ] The representation ring of a compact Lie group. Inst. Hautes Études Sci., Publ. Math. No. 34, 1968, 113 128. [4 ] (with M. F. Atiyah) The index of elliptic operators II. Ann. of Math. (2) 87, 1968, 531 545. [5 ] Equivariant contractibility of the general linear group of Hilbert space. Bull. London Math. Soc. 1, 1969, 329 331. [6 ] (with M. F. Atiyah) Equivariant K-theory and completion. J. Differential Geometry 3, 1969, 1 18. [7 ] Fredholm complexes. Quart. J. Math. Oxford Ser. (2) 21, 1970, 385 402. [8 ] Cohomology of topological groups. 1970 Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69) pp. 377 387, Academic Press, London. [9 ] Exponential isomorphisms for λ-rings. Quart. J. Math. Oxford Ser. (2) 22, 1971, 371 378. [10 ] Equivariant stable homotopy theory. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp. 59 63. Gauthier-Villars, Paris, 1971. 1
[11 ] Permutation representations of finite p-groups. Quart. J. Math. Oxford Ser. (2) 23, 1972, 375 381. [12 ] The stable homotopy of complex projective space. Quart. J. Math. Oxford Ser. (2) 24, 1973, 1 5. [13 ] Configuration-spaces and iterated loop-spaces. Invent. Math. 21, 1973, 213 221. [14 ] Operations in stable homotopy theory. Pages 105 110 in New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972). London Math Soc. Lecture Note Ser., No. 11, Cambridge Univ. Press, London, 1974. [15 ] Categories and cohomology theories. Topology 13, 1974, 293 312. [16 ] A classifying space of a topological group in the sense of Gel fand- Fuks. Funkcional. Anal. i Prilozhen. 9, 1975, no. 2, 48 50. (In Russian) [17 ] The multiplicative group of classical cohomology. Quart. J. Math. Oxford, Ser. (2) 26, 1975, no. 103, 289 293. [18 ] (with B Harris) K i groups of rings of algebraic integers. Ann. of Math. (2) 101, 1975, 20 33. [19 ] (with D. McDuff) Homology fibrations and the group-completion theorem. Invent. Math. 31, 1975/76, no. 3, 279 284. [20 ] K-homology theory and algebraic K-theory. Pages 113 127 in K- theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975). Lecture Notes in Math. 575, Springer, Berlin, 1977. [21 ] (with R. Bott) The cohomology of the vector fields on a manifold. Topology 16, 1977, no. 4, 285 298. [22 ] Classifying spaces related to foliations. Topology 17, 1978, no. 4, 367 382. [23 ] (with I. M. James) On equivariant homotopy type. Topology 17, 1978, no. 3, 267 272. 2
[24 ] The topology of spaces of rational functions. Acta Math. 143, 1979, no. 1-2, 39 72. [25 ] (with I. M. James) On equivariant homotopy theory. Pages 316 330 in Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979), Lecture Notes in Math. 788, Springer, Berlin, 1980. [26 ] (with C. T. Stretch) Characteristic classes for permutation representations. Math. Proc. Cambridge Philos. Soc. 90, 1981, no. 2, 265 272. [27 ] Unitary representations of some infinite-dimensional groups. Comm. Math. Phys. 80, 1981, no. 3, 301 342. [28 ] Two papers on representation theory. Pages 1 13 in Representation theory, London Math. Soc. Lecture Note Ser. 69, Cambridge Univ. Press, Cambridge-New York, 1982. [29 ] An introduction to the paper: Schubert cells, and the cohomology of the spaces G/P by I. N. Bernshtein, I. M. Gel fand, and S. I. Gel fand. Pages 111 114 in Representation theory, London Math. Soc. Lecture Note Ser. 69, Cambridge Univ. Press, Cambridge-New York, 1982. [30 ] (with R. K. Lashof and J. P. May) Equivariant bundles with abelian structural group. Pages 167 176 in Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982), Contemp. Math. 19, Amer. Math. Soc., Providence, RI, 1983. [31 ] (with G. Wilson) Loop groups and equations of KdV type. Inst. Hautes Études Sci., Publ. Math. No. 61 (1985), 5 65. [32 ] Loop groups. Workshop Bonn 1984, pages 155 168 in Lecture Notes in Math. 1111, Springer, Berlin, 1985. [33 ] (with Andrew Pressley) Loop groups. Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1986. viii+318 pp. ISBN: 0-19-853535-X [34 ] The definition of conformal field theory. Pages 165 171 in Differential geometrical methods in theoretical physics (Como, 1987), 165 171, 3
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 250, Kluwer Acad. Publ., Dordrecht, 1988. [35 ] Elliptic cohomology (after Landweber-Stong, Ochanine, Witten, and others). Séminaire Bourbaki, Vol. 1987/88, Exp. No. 695. In Astérisque No. 161-162, 4, 187 201 (1989). [36 ] Two-dimensional conformal field theories and modular functors. IXth International Congress on Mathematical Physics (Swansea, 1988), 22 37, Hilger, Bristol, 1989. [37 ] Loop groups and harmonic maps. Pages 153 164 in Advances in homotopy theory (Cortona, 1988), London Math. Soc. Lecture Note Ser. 139, Cambridge Univ. Press, Cambridge, 1989. [38 ] (with M. Atiyah) On equivariant Euler characteristics. J. Geom. Phys. 6 (1989), 4, 671 677. [39 ] The geometry of the KdV equation. In Topological methods in quantum field theory (Trieste, 1990). Internat. J. Modern Phys. A 6 (1991), no. 16, 2859 2869. [40 ] Geometric aspects of quantum field theory. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 1387 1396, Math. Soc. Japan, Tokyo, 1991. [41 ] Lie Groups Pages 45 132 in: Carter, Roger; Segal, Graeme; Macdonald, Ian Lectures on Lie groups and Lie algebras. With a foreword by Martin Taylor. London Mathematical Society Student Texts 32. Cambridge University Press, Cambridge, 1995. vii+190 pp. ISBN: 0-521-49579-2; 0-521-49922-4 [42 ] (with R. L. Cohen and J. D. S. Jones) Floer s infinite-dimensional Morse theory and homotopy theory. Pages 297 325 in The Floer memorial volume, Progr. Math. 133, Birkhuser, Basel, 1995. [43 ] (with A. Selby) The cohomology of the space of magnetic monopoles. Comm. Math. Phys. 177, 1996, no. 3, 775 787. [44 ] Topology of the space of SU(2)-monopoles in R 3. Pages 141 147 in Geometry and physics (Aarhus, 1995), Lecture Notes in Pure and Appl. Math. 184, Dekker, New York, 1997. 4
[45 ] Space from the point of view of loop groups. Pages 245 253 in The geometric universe (Oxford, 1996), Oxford Univ. Press, Oxford, 1998. [46 ] Integrable systems and inverse scattering. Pages 53 119 in: Hitchin, N. J.; Segal, G. B.; Ward, R. S. Integrable systems: Twistors, loop groups, and Riemann surfaces. Lectures from the Instructional Conference held at the University of Oxford, Oxford, September 1997. Oxford Graduate Texts in Mathematics 4. The Clarendon Press, Oxford University Press, New York, 1999. x+136 pp. ISBN: 0-19-850421-7 37-06 [47 ] (with R. L. Cohen and Ernesto Lupercio) Holomorphic spheres in loop groups and Bott periodicity. Asian J. Math. 3, 1999, no. 4, 801 818. [48 ] (with R. L. Cohen and J. D. S. Jones) Stability for holomorphic spheres and Morse theory. Pages 87 106 in Geometry and topology: Aarhus (1998), Contemp. Math. 258, Amer. Math. Soc., Providence, RI, 2000. [49 ] (with G. I. Lehrer) Homology stability for classical regular semisimple varieties. Math. Z. 236, 2001, no. 2, 251 290. [50 ] Topological structures in string theory. Roy. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci. 359, 2001, no. 1784, 1389 1398. [51 ] The definition of conformal field theory. Pages 421 577 in Topology, geometry and quantum field theory ed. U. L. Tillmann. London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press, Cambridge, 2004. [52 ] (with M. Atiyah) Twisted K-theory. Ukr. Mat. Visn. 1, 2004, no. 3, 287 330; translation in Ukr. Math. Bull. 1, 2004, no. 3, 291-334. [53 ] (with M. Atiyah) Twisted K-theory and cohomology. Pages 5 43 in Inspired by S. S. Chern, Nankai Tracts Math. 11, World Sci. Publ., Hackensack, NJ, 2006. [54 ] (with D. S. Freed and G. W. Moore) Heisenberg groups and noncommutative fluxes. Ann. Physics 322, 2007, no. 1, 236 285. 5
[55 ] (with D. S. Freed and G. W. Moore) The uncertainty of fluxes. Comm. Math. Phys. 271, 2007, no. 1, 247 274. [56 ] What is an elliptic object? Pages 306 317 in Elliptic cohomology, London Math. Soc. Lecture Note Ser. 342, Cambridge Univ. Press, Cambridge, 2007. [57 ] (with G. Moore) D-branes and K-theory in two-dimensional topological field theory. Part of a book String Theory to be published by the Clay Mathematical Institute, Cambridge, Mass., ed. M. Douglas. (Available at hep-th/0609042.) [58 ] Locality of holomorphic bundles and locality in quantum field theory. In Proceedings of the Conference in honour of Nigel Hitchin, ed. J.- P. Bourguinon, O. Garcia-Prada, and S. Salomon, Oxford University Press. (To appear) [59 ] (with U. L. Tillmann) Mapping configuration spaces to moduli spaces. In Groups and Diffeomorphisms 2006, ed. R. Penner et al., Advanced Studies in Mathematics, Math. Soc. Japan, 2008. 6