Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]

• Pubblicazione: Singapore ; ; Hackensack, NJ, : World Scientific, c2006
• Descrizione fisica: 1 online resource (553 p.)
• Disciplina: 515/.7242
• Soggetto topico: Elliptic operators; Differential equations, Elliptic; Topology; Boundary value problems
• Altri autori: BoossBernhelm <1941-> WojciechowskiKrzysztof P. <1953->
• Note generali: "On May 20-22, 2005, a workshop was held at Roskilde University in Denmark to honour Krzysztof P. Wojciechowski on his 50th birthday. This volume collects the papers of that workshop"--P. ix.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories ; The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary ; Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces ; Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions ; An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS ; A New Spectral Cancellation in Quantum Gravity
• Sommario/riassunto: Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievem
• Titolo autorizzato: Analysis, geometry and topology of elliptic operators
• ISBN: 1-281-37900-X; 9786611379001; 981-277-360-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784854603321
• Lo trovi qui: Univ. Federico II