Higher structures in geometry and physics cattaneo alberto s xu ping giaquinto anthony
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Longoni Configuration spaces and Vassiliev classes in any dimension Algebr. One of corollaries is a justification of the orbit method in the representation theory. We describe enveloping algebras of finite-dimensional Lie algebras which are formal in the sense that their Hochschild complex as a differential graded Lie algebra is quasi-isomorphic to its Hochschild cohomology. Mnev Wave relations Preprint Nr. Martellini A conformal affine Toda model of 2d black holes: A quantum study of the evaporation end point Mod.

Topics in Algebraic deformation theory. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures. Cattaneo Coisotropic submanifolds and dual pairs Preprint Nr. A 16, 179-190 2001 A. Zambon Pre-Poisson submanifolds Preprint Nr. Felder Poisson sigma models and deformation quantization Mod.

Zabzine Geometric quantization and non-perturbative Poisson sigma model Preprint Nr. Reshetikhin Perturbative quantum gauge theories on manifolds with boundary see also:. Suppose, furthermore, given a contraction of g onto a chain complex M. Contreras Palacios Split canonical relations 33 pages, 2 figures A. D 48, 2660-2669 1993 F. Besides, we establish a correspondance between enveloping algebras of Hom-Lie algebras endowed with a Hom-coPoisson structure and Hom-Lie bialgebras.

Torossian Quantification pour les paires symĂ©triques et diagrammes de Kontsevich Preprint Nr. A 8, 2593-2605 1993 F. We call a finite-dimensional complex Lie algebra g strongly rigid if its universal enveloping algebra Ug is rigid as an associative algebra, i. SchĂ€tz Introduction to supergeometry Preprint Nr. Martellini Quantum models of black hole evaporation in International Workshop on String Theory, Quantum Gravity and the Unification of Fundamental Interactions World Scientific Publishing Co. This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics and in theoretical physics such as quantum field theory and string theory.

Cattaneo Configuration space integrals and invariants for 3-manifolds and knots Cont. Willwacher The character map in deformation quantization Preprint Nr. Martellini Conformal affine Toda model of two-dimensional black holes: The end-point state and the S matrix Phys. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Felder Formal Lagrangian Operad Preprint Nr. Kolokolov Statistics of the one-electron current in a one-dimensional mesoscopic ring at arbitrary magnetic fields J. Each contribution in this volume expands on the ideas of.

Mnev The Poisson Sigma Model on Closed Surfaces Preprint Nr. Shimizu A Note on the Î-Invariant of 3-Manifolds 13 pages A. This leads to considering the differential graded Lie algebra of multivector fields endowed with a divergence operator. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Beschreibung This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematicsâ such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physicsâ and in theoretical physics such as quantum field theory and string theory. The tools used are homological ones.

Sternheimer Special Issue on Deformation Quantization guest editors A. In particular, my research activity includes deformation quantization, symplectic and Poisson geometry, topological quantum field theories, and the mathematical aspects of perturbative quantization of gauge theories. Here we consider configuration spaces of points in the disk and work equivariantly with respect to the rotation group. The E-mail message field is required. This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics- and in theoretical physics such as quantum field theory and string theory. Each contribution in this volume expands on the ideas of Gerstenhaber and Stasheff.

It turns out that there is no formality, ans that the perturbed L-infinity structure on the cohomology has non-trivial terms in infinitely manu degrees. I prove that every finite-dimensional Poisson manifold X admits a canonical deformation quantization. Cattaneo Integral invariants of 3-manifolds J. These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Moreover we set quantization problems and generalize the notion of star-product. Topics in Algebraic deformation theory.

Progress in Mathematics, vol 287. Higher Structures in Geometry and Physics is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures. Felder A path integral approach to the Kontsevich quantization formula Commun. On one hand, we consider formality for free algebras and the Lie algebra so 3 , and on the other hand we study deformation quantization for Hom-algebraic structures. Xu Integration of twisted Poisson structures Preprint Nr. This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics and in theoretical physics such as quantum field theory and string theory.

These higher algebraic structures provide a common language essential in the study of deformation quantization, theory of algebroids and groupoids, symplectic field theory, and much more. Longoni Algebraic structures on graph cohomology Preprint Nr. The volume is intended for post-graduate students, mathematical and theoretical physicists, and mathematicians interested in higher structures. Informally, it means that the set of equivalence classes of associative algebras close to the algebra of functions on X is in one-to-one correspondence with the set of equivalence classes of Poisson structures on X modulo diffeomorphisms. Indelicato Formality and Star Products Preprint Nr.