Topology, Geometry and Quantum Field Theory: Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme SegalUlrike Luise Tillmann Cambridge University Press, 28. 6. 2004. - 577 страница The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context. |
Садржај
Differential isomorphism and equivalence of algebraic varieties | 98 |
A polarized view of string topology | 127 |
Random matrices and CalabiYau geometry | 155 |
A survey of the topological properties of symplectomorphism | 173 |
Ktheory from a physical perspective | 194 |
Heisenberg groups and algebraic topology | 235 |
What is an elliptic object? | 247 |
Open and closed string field theory interpreted in classical | 344 |
Cohomology of the stable mapping class group | 379 |
Conformal field theory in four and six dimensions | 405 |
Foreword and postscript | 423 |
9 Field operators 97 | 528 |
10 The omodel for a torus 120 | 551 |
11 The WZW model for a compact group NOT WRITTEN | 563 |
References | 576 |
Ktheory of the moduli space of bundles on a surface | 358 |
Чести термини и фразе
1-manifold 2-vector action annulus associated automorphisms bimodule bordism branes canonical central extension Clifford algebra closed string cohomology commutative compatible complex components conformal field theory conformal spin connection construction corresponding curves D-branes defined Definition denote determinant line diffeomorphism differential operators dimension element elliptic object equivalent equivariant example Falg fermions fiber finite Fock space Frobenius algebra functor G-bundles geometric given graded Hamiltonian Hilbert space holomorphic homology homotopy integral invariant involution irreducible isomorphism Lemma Lie algebra line bundle linear loop group loop space manifold Math metric modular functor moduli space morphism Neumann algebras open string oriented pair Phys projective proof Proposition quantum representation Riemann surface ring Segal Segal-Sugawara sheaf smooth spin structure subspace super symmetric symplectic tensor Theorem topological trivial twisted vacuum vector bundle vector space Virasoro von Neumann algebras Y₁