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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...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore ; Hackensack, NJ :
World Scientific,
©2006.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.