"Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts."
Contents -- Preface -- Contributors -- Opening Address -- Geometry and
physics: where are we going? /Sir Michael Atiyah -- Summer School Notes --
Floer homology, A?-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 /Zoltdn Szabo -- 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 M3 /Graeme Segal -- Recent
progress on Kahler-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-cobordism 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 = 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 -- Hyperkahler metrics on cotangent bundles of Hermitian symmetric
spaces /Olivier Biquard and Paul Gauduchon -- Decomposable self-dual
manifolds /Y. S. Boon -- The SJ7(oo)-Toda field equation and special
four-dimensional metrics /K. P. Tod -- The structure of quaternionic Kahler
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 s /2-invariant of 3-manifolds which
contains all the Witten-Reshetikhin-Turaev invariants /Thang T. Q. Le -- 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 Arnolds
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 Garcia-Prada
-- Seiberg-Witten and Gromov invariants /Clifford H. Taubes -- Introduction
to conformal field theory with gauge symmetries /Kenji Ueno.
Denmark. Dr. Andersen received the D.Phil. degree (l992) in mathematics from the University of Oxford, England. Johan Dupont is Special Associate Professor of Mathematics at Aarhus University, Denmark. Dr. Dupont received the Ph.D. degree (l 972) in mathematics from Aarhus University, Denmark. Henrik Pedersen is a Lecturer in Mathematics at Odense University, Denmark. He received the D.Phil. degree (l 985) in mathematics from the University of Oxford, England. Andrew Swann is a Lecturer in Mathematics in the School of Mathematical Sciences at the University of Bath, England. His qualifications include the D.Phil. degree in mathematics from the University of Oxford, England.
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