Jrgen Ellegaard Andersen

Geometry and Physics

Herausgeber: Andersen, Jorgen E.; Dupont, J.

• Broschiertes Buch

Produktbeschreibung

This important reference - 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, Geometry and Physics presents the Seiberg-Witten invariants that facilitate the solution of open problems in Donaldson's theory...describes applications of the Seiberg-Witten invariants...analyzes moduli spaces of semi-stable bundles over Riemann surfaces...addresses operator algebras and topology...demonstrates the planar topological aspects of subfactors...examines symplectic geometry and Einstein metrics...discusses novel ways of computing curvature and holonomy for the determinant line bundle...elucidates the new topic of finite type invariants of three-manifolds and relations with nonperturbative quantum invariants...delineates recent work on a purely topological approach to physics-inspired invariants...and much more. Generously illustrated and containing over 800 key bibliographic citations, Geometry and Physics is an indispensable resource for geometers, topologists, mathematical and theoretical physicists, and graduate-level students in these disciplines.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Routledge
• Seitenzahl: 768
• Erscheinungstermin: 11. Oktober 1996
• Englisch
• Abmessung: 254mm x 178mm x 41mm
• Gewicht: 1417g
• ISBN-13: 9780824797911
• ISBN-10: 0824797914
• Artikelnr.: 21272114

Autorenporträt

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.

Inhaltsangabe

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).