By Matthias Lesch, Bernhelm Booss-Bavnbek, Slawomir Klimek, Weiping Zhang
Smooth conception of elliptic operators, or just elliptic concept, has been formed through the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic concept over a large variety, 32 best scientists from 14 diverse international locations current contemporary advancements in topology; warmth kernel ideas; spectral invariants and slicing and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. the 1st of its type, this quantity is preferrred to graduate scholars and researchers drawn to cautious expositions of newly-evolved achievements and views in elliptic thought. The contributions are in response to lectures awarded at a workshop acknowledging Krzysztof P Wojciechowski's paintings within the conception of elliptic operators.
Read Online or Download Analysis, Geometry And Topology of Elliptic Operators: Papers in Honor of Krysztof P. Wojciechowski PDF
Similar geometry and topology books
Discrete differential geometry is an energetic mathematical terrain the place differential geometry and discrete geometry meet and have interaction. It presents discrete equivalents of the geometric notions and techniques of differential geometry, comparable to notions of curvature and integrability for polyhedral surfaces.
- Encyclopaedie der mathematischen Wissenschaften und Anwendungen. Geometrie
- Oeuvres: Topologie (analysis situs)
- Convex optimization and Euclidean distance geometry (no bibliogr.)
- An Extension of the New Einstein Geometry
Additional info for Analysis, Geometry And Topology of Elliptic Operators: Papers in Honor of Krysztof P. Wojciechowski
26 Jinsung Park 2. Gluing formula of the ^-regularized determinant of a Laplace type operator In this section, we review the gluing formula of the ^-regularized determinant of a Laplace type operator. This type of formula was first proved by Burghelea, Friedlander and Kappeler (BFK) in  where they call this a Mayer-Vietoris type formula. Although their formula holds for a more general situation, that is, more general differential operators and general local elliptic boundary conditions, here we just restrict our discussion to a Laplace type operator and the Dirichlet boundary condition.
For 7T : T*X -> X and u G C°°(£), let u A G C°°(n*E) be denned (where x = TT(0 and £ e T*X) by u A (£) := /" e-*Wl>(\v\)Tf
Let TTE '• E —+ X and np : F —> X be complex hermitian vector Behavior of the analytic index under nontrivial embedding 43 bundles equipped with hermitian connections VE : C°°(E) —• C°°(T*X
Analysis, Geometry And Topology of Elliptic Operators: Papers in Honor of Krysztof P. Wojciechowski by Matthias Lesch, Bernhelm Booss-Bavnbek, Slawomir Klimek, Weiping Zhang