Analysis, Geometry and Topology of Elliptic Operators: by Matthias Lesch, Bernhelm Booβ-Bavnbek, Slawomir Klimek,

By Matthias Lesch, Bernhelm Booβ-Bavnbek, Slawomir Klimek, Weiping Zhang

Smooth thought of elliptic operators, or just elliptic thought, has been formed through the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic idea over a vast variety, 32 prime scientists from 14 diverse international locations current fresh advancements in topology; warmth kernel thoughts; spectral invariants and slicing and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics.The first of its type, this quantity is excellent to graduate scholars and researchers attracted to cautious expositions of newly-evolved achievements and views in elliptic idea. The contributions are according to lectures provided at a workshop acknowledging Krzysztof P Wojciechowski's paintings within the thought of elliptic operators.

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Extra resources for Analysis, Geometry and Topology of Elliptic Operators: Papers in Honor of Krzysztof P Wojciechowski

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Patodi, and I. M. Singer, Spectral asymmetry and Riemannian geometry II, Math. Proc. Cambridge Philos. Soc. 78 (1975), 405432. 3. , Spectral asymmetry and Riemannian geometry III, Math. Proc. Cambridge Philos. Soc. 79 (1976), 71-99. 4. B. Boofl and K. P. Wojciechowski, Desuspension and splitting elliptic symbols I, Ann. Global Anal. Geom. 3 (1985), 337-383. 5. , Desuspension and splitting elliptic symbols II, Ann. Global Anal. Geom. 4 (1986), 349-400. 6. B. Boofi-Bavnbek, M. Lesch, and C. Zhu, In preparation.

W. Miiller, Relative zeta functions, relative determinants and scattering theory, Comm. Math. Phys. 192 (1998), 309-347. 25. J. Park and K. P. Wojciechowski, Adiabatic decomposition of the £determinant of the Dirac Laplacian. I. The case of an invertible tangential operator. With an appendix by Yoonweon Lee, Comm. Partial Differential Equations 27 (2002), no. 7-8, 1407-1435. 26. J. Park and K. P. Wojciechowski, Scattering theory and adiabatic decomposition of the (^-determinant of the Dirac Laplacian, Math.

Lesch, On the r)-invariant of certain nonlocal boundary value problems, Duke Math. J. 96 (1999), 425-468. 6. U. Bunke, On the gluing formula for the n-invariant, J. Differential Geom. 41 (1995), 397-448. 7. D. Burghelea, L. Friedlander, and T. Kappeler, Mayer-Vietoris type formula for determinants of differential operators, J. Funct. Anal. 107 (1992), 34-65. 8. -P. Calderon, Boundary value problems for elliptic equations, 1963 Outlines Joint Sympos. Partial Differential Equations (Novosibirsk, 1963) pp.

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