Deformation Theory and Symplectic GeometryDaniel Sternheimer, John Rawnsley, Simone Gutt This volume contains papers presented at the meeting Deformation Theory, Symplectic Geometry and Applications, held in Ascona, June 17-21, 1996. The contents touch upon many frontier domains of modern mathematics, mathematical physics and theoretical physics and include authoritative, state-of-the-art contributions by leading scientists. New and important developments in the fields of symplectic geometry, deformation quantization, noncommutative geometry (NCG) and Lie theory are presented. Among the subjects treated are: quantization of general Poisson manifolds; new deformations needed for the quantization of Nambu mechanics; quantization of intersection cardinalities; quantum shuffles; new types of quantum groups and applications; quantum cohomology; strong homotopy Lie algebras; finite- and infinite-dimensional Lie groups; and 2D field theories and applications of NCG to gravity coupled with the standard model. Audience: This book will be of interest to researchers and post-graduate students of mathematical physics, global analysis, analysis on manifolds, topological groups, nonassociative rings and algebras, and Lie algebras. |
Contents
Ludwig Faddeev and Alexander Volkov | 35 |
Jürg Fröhlich | 67 |
Simone Gutt and John Rawnsley | 103 |
Copyright | |
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Deformation Theory and Symplectic Geometry Daniel Sternheimer,John Rawnsley,Simone Gutt No preview available - 2010 |
Common terms and phrases
action acts associated associative algebra basis bracket bundle called canonical CH(X classical coefficients cohomology commutative complex component condition conjecture connection consider construction corresponding defined definition deformation deformation quantization denote derivative determines differential differential operators dimension element equation equivalence example exists expression extended fact finite fixed formal formula functions geometry given gives graded graph Hamiltonian Hence homology identity induces integral invariant isomorphism Lie algebra limit linear manifold Math matrix means measure module multiplication Nambu natural Note obtained operator orbit particular Phys Poisson manifold polynomials positive preserving Proof properties Proposition prove quantization quantum relation representation respect restriction result satisfy simple solution space standard star product structure symmetric symplectic manifold tensor Theorem trivial unique University usual values vector fields vector space weight Weyl zero