Analysis, Geometry And Topology Of Elliptic Operators: Papers In Honor Of Krzysztof P Wojciechowski Papers in Honor of Krzysztof P Wojciechowski

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 Achievements And Perspectives In Elliptic Theory. The Contributions Are Based On Lectures Presented At A Workshop Acknowledging Krzysztof P Wojciechowski's Work In The Theory Of Elliptic Operators. Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie GroupsRemarks 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 OperatorsPart V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics; T-DUALITY FOR NON-FREE CIRCLE ACTIONS; A New Spectral Cancellation in Quantum Gravity; A Generalized Morse Index Theorem Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem. Reviewing elliptic theory over a broad range, this work presents developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and more.