1.

Record Nr.

UNINA9910458283503321

Titolo

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

Pubbl/distr/stampa

Singapore ; ; Hackensack, NJ, : World Scientific, c2006

ISBN

1-281-37900-X

9786611379001

981-277-360-6

Descrizione fisica

1 online resource (553 p.)

Altri autori (Persone)

BoossBernhelm <1941->

WojciechowskiKrzysztof P. <1953->

Disciplina

515/.7242

Soggetti

Elliptic operators

Differential equations, Elliptic

Topology

Boundary value problems

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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