Publications. Graeme Segal All Souls College, Oxford

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1 Publications Graeme Segal All Souls College, Oxford [1 ] Classifying spaces and spectral sequences. Inst. Hautes Études Sci., Publ. Math. No. 34, 1968, [2 ] Equivariant K-theory. Inst. Hautes 34, 1968, Études Sci., Publ. Math. No. [3 ] The representation ring of a compact Lie group. Inst. Hautes Études Sci., Publ. Math. No. 34, 1968, [4 ] (with M. F. Atiyah) The index of elliptic operators II. Ann. of Math. (2) 87, 1968, [5 ] Equivariant contractibility of the general linear group of Hilbert space. Bull. London Math. Soc. 1, 1969, [6 ] (with M. F. Atiyah) Equivariant K-theory and completion. J. Differential Geometry 3, 1969, [7 ] Fredholm complexes. Quart. J. Math. Oxford Ser. (2) 21, 1970, [8 ] Cohomology of topological groups Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69) pp , Academic Press, London. [9 ] Exponential isomorphisms for λ-rings. Quart. J. Math. Oxford Ser. (2) 22, 1971, [10 ] Equivariant stable homotopy theory. Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 2, pp Gauthier-Villars, Paris,

2 [11 ] Permutation representations of finite p-groups. Quart. J. Math. Oxford Ser. (2) 23, 1972, [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, [14 ] Operations in stable homotopy theory. Pages in New developments in topology (Proc. Sympos. Algebraic Topology, Oxford, 1972). London Math Soc. Lecture Note Ser., No. 11, Cambridge Univ. Press, London, [15 ] Categories and cohomology theories. Topology 13, 1974, [16 ] A classifying space of a topological group in the sense of Gel fand- Fuks. Funkcional. Anal. i Prilozhen. 9, 1975, no. 2, (In Russian) [17 ] The multiplicative group of classical cohomology. Quart. J. Math. Oxford, Ser. (2) 26, 1975, no. 103, [18 ] (with B Harris) K i groups of rings of algebraic integers. Ann. of Math. (2) 101, 1975, [19 ] (with D. McDuff) Homology fibrations and the group-completion theorem. Invent. Math. 31, 1975/76, no. 3, [20 ] K-homology theory and algebraic K-theory. Pages in K- theory and operator algebras (Proc. Conf., Univ. Georgia, Athens, Ga., 1975). Lecture Notes in Math. 575, Springer, Berlin, [21 ] (with R. Bott) The cohomology of the vector fields on a manifold. Topology 16, 1977, no. 4, [22 ] Classifying spaces related to foliations. Topology 17, 1978, no. 4, [23 ] (with I. M. James) On equivariant homotopy type. Topology 17, 1978, no. 3,

3 [24 ] The topology of spaces of rational functions. Acta Math. 143, 1979, no. 1-2, [25 ] (with I. M. James) On equivariant homotopy theory. Pages in Topology Symposium, Siegen 1979 (Proc. Sympos., Univ. Siegen, Siegen, 1979), Lecture Notes in Math. 788, Springer, Berlin, [26 ] (with C. T. Stretch) Characteristic classes for permutation representations. Math. Proc. Cambridge Philos. Soc. 90, 1981, no. 2, [27 ] Unitary representations of some infinite-dimensional groups. Comm. Math. Phys. 80, 1981, no. 3, [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, [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 in Representation theory, London Math. Soc. Lecture Note Ser. 69, Cambridge Univ. Press, Cambridge-New York, [30 ] (with R. K. Lashof and J. P. May) Equivariant bundles with abelian structural group. Pages in Proceedings of the Northwestern Homotopy Theory Conference (Evanston, Ill., 1982), Contemp. Math. 19, Amer. Math. Soc., Providence, RI, [31 ] (with G. Wilson) Loop groups and equations of KdV type. Inst. Hautes Études Sci., Publ. Math. No. 61 (1985), [32 ] Loop groups. Workshop Bonn 1984, pages in Lecture Notes in Math. 1111, Springer, Berlin, [33 ] (with Andrew Pressley) Loop groups. Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, viii+318 pp. ISBN: X [34 ] The definition of conformal field theory. Pages in Differential geometrical methods in theoretical physics (Como, 1987), , 3

4 NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 250, Kluwer Acad. Publ., Dordrecht, [35 ] Elliptic cohomology (after Landweber-Stong, Ochanine, Witten, and others). Séminaire Bourbaki, Vol. 1987/88, Exp. No In Astérisque No , 4, (1989). [36 ] Two-dimensional conformal field theories and modular functors. IXth International Congress on Mathematical Physics (Swansea, 1988), 22 37, Hilger, Bristol, [37 ] Loop groups and harmonic maps. Pages in Advances in homotopy theory (Cortona, 1988), London Math. Soc. Lecture Note Ser. 139, Cambridge Univ. Press, Cambridge, [38 ] (with M. Atiyah) On equivariant Euler characteristics. J. Geom. Phys. 6 (1989), 4, [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, [40 ] Geometric aspects of quantum field theory. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), , Math. Soc. Japan, Tokyo, [41 ] Lie Groups Pages 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, vii+190 pp. ISBN: ; [42 ] (with R. L. Cohen and J. D. S. Jones) Floer s infinite-dimensional Morse theory and homotopy theory. Pages in The Floer memorial volume, Progr. Math. 133, Birkhuser, Basel, [43 ] (with A. Selby) The cohomology of the space of magnetic monopoles. Comm. Math. Phys. 177, 1996, no. 3, [44 ] Topology of the space of SU(2)-monopoles in R 3. Pages in Geometry and physics (Aarhus, 1995), Lecture Notes in Pure and Appl. Math. 184, Dekker, New York,

5 [45 ] Space from the point of view of loop groups. Pages in The geometric universe (Oxford, 1996), Oxford Univ. Press, Oxford, [46 ] Integrable systems and inverse scattering. Pages 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 Oxford Graduate Texts in Mathematics 4. The Clarendon Press, Oxford University Press, New York, x+136 pp. ISBN: [47 ] (with R. L. Cohen and Ernesto Lupercio) Holomorphic spheres in loop groups and Bott periodicity. Asian J. Math. 3, 1999, no. 4, [48 ] (with R. L. Cohen and J. D. S. Jones) Stability for holomorphic spheres and Morse theory. Pages in Geometry and topology: Aarhus (1998), Contemp. Math. 258, Amer. Math. Soc., Providence, RI, [49 ] (with G. I. Lehrer) Homology stability for classical regular semisimple varieties. Math. Z. 236, 2001, no. 2, [50 ] Topological structures in string theory. Roy. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci. 359, 2001, no. 1784, [51 ] The definition of conformal field theory. Pages in Topology, geometry and quantum field theory ed. U. L. Tillmann. London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press, Cambridge, [52 ] (with M. Atiyah) Twisted K-theory. Ukr. Mat. Visn. 1, 2004, no. 3, ; translation in Ukr. Math. Bull. 1, 2004, no. 3, [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, [54 ] (with D. S. Freed and G. W. Moore) Heisenberg groups and noncommutative fluxes. Ann. Physics 322, 2007, no. 1,

6 [55 ] (with D. S. Freed and G. W. Moore) The uncertainty of fluxes. Comm. Math. Phys. 271, 2007, no. 1, [56 ] What is an elliptic object? Pages in Elliptic cohomology, London Math. Soc. Lecture Note Ser. 342, Cambridge Univ. Press, Cambridge, [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/ ) [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,