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Analysis, geometry and topology of elliptic operators /

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; sp...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Booss, Bernhelm, 1941-, Wojciechowski, Krzysztof P., 1953-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2006.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Analysis, geometry and topology of elliptic operators /  |c editors, Bernhelm Booss-Bavnbek [and others]. 
260 |a Singapore ;  |a Hackensack, NJ :  |b World Scientific,  |c ©2006. 
300 |a 1 online resource (xi, 540 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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500 |a "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"--Page ix. 
504 |a Includes bibliographical references. 
588 0 |a Print version record. 
505 0 |a pt. I. On the mathematical work of Krzysztof P. Wojciechowski. Selected aspects of the mathematical work of Krzysztof P. Wojciechowski / Matthias Lesch. Gluing formulae of spectral invariants and cauchy data spaces / Jinsung Park -- pt. II. Topological theories. The behavior of the analytic index under nontrivial embedding / David Bleecker. Critical points of polynomials in three complex variables / Liviu I. Nicolaescu. Chern-Weil forms associated with superconnections / Sylvie Paycha and Simon Scott -- pt. III. Heat kernel calculations and surgery. Non-laplace type operators on manifolds with boundary / Ivan G. Avramidi. Eta invariants for manifold with boundary / Xianzhe Dai. Heat kernels of the sub-laplacian and the laplacian on nilpotent lie groups / Kenro Furutani. Remarks on nonlocal trace expansion coefficients / Gerd Grubb. An anomaly formula for L2-analytic torsions on manifolds with boundary / Xiaonan Ma and Weiping Zhang. Conformal anomalies via canonical traces / Sylvie Paycha and Steven Rosenberg -- pt. IV. Noncommutative geometry. An analytic approach to spectral flow in von Neumann algebras / Moulay-Tahar Benameur [and others]. Elliptic operators on infinite graphs / Józef Dodziuk. A new kind of index theorem / Ronald G. Douglas. A note on noncommutative holomorphic and harmonic functions on the unit disk / Slawomir Klimek. Star products and central extensions / Jouko Mickelsson. An elementary proof of the homotopy equivalence between the restricted general linear group and the space of Fredholm operators / Tilmann Wurzbacher -- pt. V. Theoretical particle, string and membrane physics, and Hamiltonian dynamics. T-duality for non-free circle actions / Ulrich Bunke and Thomas Schick. A new spectral cancellation in quantum gravity / Giampiero Esposito [and others]. A generalized Morse index theorem / Chaofeng Zhu. 
520 |a 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. 
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650 0 |a Elliptic operators. 
650 0 |a Differential equations, Elliptic. 
650 0 |a Topology. 
650 0 |a Boundary value problems. 
650 6 |a Opérateurs elliptiques. 
650 6 |a Équations différentielles elliptiques. 
650 6 |a Topologie. 
650 6 |a Problèmes aux limites. 
650 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
650 7 |a Boundary value problems  |2 fast 
650 7 |a Differential equations, Elliptic  |2 fast 
650 7 |a Elliptic operators  |2 fast 
650 7 |a Topology  |2 fast 
700 1 |a Booss, Bernhelm,  |d 1941- 
700 1 |a Wojciechowski, Krzysztof P.,  |d 1953- 
776 0 8 |i Print version:  |t Analysis, geometry and topology of elliptic operators.  |d Singapore ; Hackensack, NJ : World Scientific, ©2006  |w (DLC) 2006298053 
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