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

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

ISBN-10: 9812568050

ISBN-13: 9789812568052

Sleek concept of elliptic operators, or just elliptic concept, has been formed through the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic thought over a extensive variety, 32 major scientists from 14 assorted international locations current contemporary advancements in topology; warmth kernel recommendations; 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 supreme to graduate scholars and researchers attracted to cautious expositions of newly-evolved achievements and views in elliptic concept. The contributions are in accordance with lectures awarded 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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Let i/> : [0, oo) —> [0,1] be smooth, with ip(r) = 1 for r G [0,p/3] and tp(r) — 0 for r G [2p/3, oo]. 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 X, of the bump function a(a;, •) times u(-) in a neighborhood of a;, and UA\T*X is the Fourier transform of this "pull-back" of a(x,-)u(-).

19. J. Park and K. P. Wojciechowski, Adiabatic decomposition of the £ determinant of the Dirac Laplacian I. The case of invertible tangential operator, Comm. Partial Differential Equations 27 (2002), 1407-1435, (with an Appendix by Y. Lee). 20. , Scattering theory and adiabatic decomposition of the (-determinant of the Dirac Laplacian, Math. Res. Lett. 9 (2002), 17-25. 21. S. G. Scott and K. P. Wojciechowski, The (-determinant and Quillen determinant for a Dirac operator on a manifold with boundary, Geom.

Wojciechowski, On the rj-invariant of generalized AtiyahPatodi-Singer boundary value problems, Illinois J. Math. 40 (1996), 30-46. 17. P. Loya and J. Park, On the gluing problem for the spectral invariants of dirac operators, To appear. 18. W. Miiller, Eta invariants and manifolds with boundary, J. Differential Geom. 40 (1994), 311-377. 19. J. Park and K. P. Wojciechowski, Adiabatic decomposition of the £ determinant of the Dirac Laplacian I. The case of invertible tangential operator, Comm. Partial Differential Equations 27 (2002), 1407-1435, (with an Appendix by Y.

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Analysis, Geometry and Topology of Elliptic Operators: Papers in Honor of Krzysztof P Wojciechowski by Matthias Lesch, Bernhelm Booβ-Bavnbek, Slawomir Klimek, Weiping Zhang


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