Geometry and physics : proceedings of the conference at Aarhus University, Aarhus, Denmark

書誌事項

Geometry and physics : proceedings of the conference at Aarhus University, Aarhus, Denmark

edited by Jørgen Ellegaard Andersen ... [et al.]

(Lecture notes in pure and applied mathematics, v. 184)

Marcel Dekker, 1997

  • : pbk

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注記

Includes bibliographical references

内容説明・目次

内容説明

"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."

目次

  • Opening address: geometry and physics - where we going? Summer School notes: Floer homology, A-infinity categories and topological field theory
  • quantum field theory, equivalent cohomology, symplectic geometry, and moduli spaces of vector bundles on Riemann surfaces
  • notes on Seiberg-Witten invariants
  • an introduction to the topology of the moduli space of stable bundles on a Riemann surface
  • the fundamental theorem of Vassiliev invariants. Conference and workshop papers: configuration spaces and imbedding problems
  • topology of the space of SU(2)-monopoles in R3
  • recent progress on Kahler-Einstein metrics
  • the ODE system arising from cohomogeneity One Einstein metrics
  • Einstein metrics on complex surfaces
  • BPS states as symplectic invariants from string theory
  • determinants line bundles revisited
  • on representations of spin mapping class groups arising in spin TQFT
  • the symplectic S-Cobodism conjecture - a summary
  • Hamiltonian Torus action
  • a new proof of the convexity theorem for the poisson-lie moment map
  • symplectic 4-manifolds with b2+=1
  • compact manifolds with exceptional holonomy
  • fusion product of positive level representations and lie algebra homology
  • affine connections on involutive G-structures
  • observations on the topology of symmetric spaces
  • hyperkahler metrics on cotangent bundles of Hermitian symmetric spaces
  • decomposable self-dual manifolds
  • the SU infinity - Toda filed equation and special four-dimensional metrics
  • the structure of quaternionic Kahler quotients
  • overview and warmup example for perturbation theory with instantons
  • a note on free composition of subfactors. (Part contents).

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