Geometry and Physics

Table of Contents

Opening Address

• Geometry and physics: where are we going?
  Sir Michael Atiyah

Summer School Notes

• Floer homology, A_\infty-categories and topological field theory
  Kenji Fukaya, notes by Paul Seidel
• Quantum field theory, equivariant cohomology, symplectic geometry and moduli spaces of vector bundles on Riemann surfaces
  Lisa C. Jeffrey
• Notes on Seiberg-Witten invariants
  Zoltán Szabó
• An introduction to the topology of the moduli space of stable bundles on a Riemann surface
  Michael Thaddeus
• The fundamental theorem of Vassiliev invariants
  Dror Bar-Natan, notes by Alexander Stoimenow

Conference and Workshop Papers

• Configuration spaces and imbedding problems
  Raoul Bott
• Topology of the space of SU(2)-monopoles in R^3
  Graeme Segal
• Recent progress on Kähler-Einstein metrics
  Gang Tian
• The ODE system arising from cohomogeneity one Einstein metrics
  J.-H. Eschenburg and McKenzie Y. Wang
• Einstein metrics on complex surfaces
  Claude LeBrun
• BPS states as symplectic invariants from string theory
  Shing-Tung Yau and Eric Zaslow
• Determinant line bundles revisited
  Daniel S. Freed
• On representations of Spin mapping class groups arising in Spin TQFT
  G. Masbaum
• The symplectic S-cobodism conjecture: a summary
  Kenji Fukaya
• Hamiltonian torus actions
  Yael Karshon
• A new proof of the Convexity Theorem for the Poisson-Lie moment map
  A. Yu. Alekseev
• Symplectic 4-manifolds with b^+_2 = 1
  Hiroshi Ohta and Kaoru Ono
• Compact manifolds with exceptional holonomy
  Dominic Joyce
• Fusion product of positive level representations and Lie algebra homology
  Shrawan Kumar
• Affine connections on involutive G-structures
  Sergey A. Merkulov
• Observations on the topology of symmetric spaces
  A. Fino and S. Salamon
• Hyperkähler metrics on cotangent bundles of Hermitian symmetric spaces
  Olivier Biquard and Paul Gauduchon
• Decomposable self-dual manifolds
  Y. S. Poon
• The SU(\infty)-Toda field equation and special four-dimensional metrics
  K. P. Tod
• The structure of quaternionic Kähler quotients
  Andrew Dancer and Andrew Swann
• Overview and warmup example for perturbation theory with instantons
  Scott Axelrod
• A note on free composition of subfactors
  Dietmar Bisch and Vaughan Jones
• Witten-Reshetikhin-Turaev invariants of 3-manifolds as holomorphic functions
  R. J. Lawrence
• On finite type invariants of links and rational homology spheres derived from the Jones polynomial and Witten-Reshetikhin-Turaev invariant
  L. Rozansky
• A quantum sl_2-invariant of 3-manifolds which contains all the Witten-Reshetikhin-Turaev invariants
  Thang T. Q. Lê
• On some invariants of 3-manifolds
  Tomotada Ohtsuki
• Quantum Sp(2) invariants of three-manifolds at eighth and tenth roots of unity
  Hitoshi Murakami and Tomotada Ohtsuki
• On finite type 3-manifold invariants V: rational homology 3-spheres
  Stavros Garoufalidis and Tomotada Ohtsuki
• The Casson invariant for a knot in a 3-manifold
  Jun Murakami
• Invariants of links and three-manifolds via Hopf algebras
  Louis H. Kauffman
• Portrait of the handle as a Hopf algebra
  David Yetter
• Genealogy of non-perturbative quantum invariants of 3-manifolds: the surgical family
  Thomas Kerler
• Finite order invariants of framed knots in a solid torus and in Arnold's J^+-theory of plane curves
  V. Goryunov
• Numerical application of quantum invariants to random knotting
  Tetsuo Deguchi and Kyoichi Tsurusaki
• Non-Abelian monopoles and vortices
  Steven B. Bradlow and Oscar García-Prada
• Seiberg-Witten and Gromov invariants
  Clifford H. Taubes
• Introduction to conformal field theory with gauge symmetries
  Kenji Ueno

Url: http://www.imada.sdu.dk/~swann/aarhus-proceedings/contents.html.
Last modified 16th July, 1999