Analysis, Geometry And Topology of Elliptic Operators: - download pdf or read online

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

ISBN-10: 9812568050

ISBN-13: 9789812568052

ISBN-10: 9812773606

ISBN-13: 9789812773609

Glossy conception of elliptic operators, or just elliptic thought, has been formed through the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic conception over a vast variety, 32 best scientists from 14 diverse international locations current contemporary advancements in topology; warmth kernel options; spectral invariants and slicing and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. the 1st of its variety, this quantity is perfect to graduate scholars and researchers drawn 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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Lesch The additivity of the rj-invariant. The case of an invertible tangential H o u s t o n J. M a t h . 2 0 (1994), 6 0 3 - 6 2 1 . The additivity of the n-invariant. The case of a singular tangential C o m m . M a t h . P h y s . 1 0 9 (1995), 315-327. The ^-determinant and the additivity of the n-invariant on the self-adjoint Grassmannian, C o m m . M a t h . P h y s . 2 0 1 (1999), 4 2 3 - Received by the editors September 14, 2005; revised January 5, 2006 Analysis, Geometry and Topology of Elliptic Operators, pp.

29. J. Park and K. P. Wojciechowski, Agranovich-Dynin formula for the zetadeterminants of the Neumann and Dirichlet problems, Spectral geometry of manifolds with boundary and decomposition of manifolds, 109-121, Contemp. , 366, Amer. Math. Soc, Providence, RI, 2005. 30. D. B. Ray and I. M. Singer, R-torsion and the Laplacian on Riemannian manifolds, Adv. Math. 7 (1971), 145-210. 31. S. G. Scott and K. P. Wojciechowski, The £-determinant and Quillen determinant for a Dirac operator on a manifold with boundary, Geom.

M. Singer, R-torsion and the Laplacian on Riemannian manifolds, Adv. Math. 7 (1971), 145-210. 31. S. G. Scott and K. P. Wojciechowski, The £-determinant and Quillen determinant for a Dirac operator on a manifold with boundary, Geom. Funct. 38 Jinsung Park Anal. 10, no. 5 (1999), 1202-1236. 32. R. T. Seeley, Singular integrals and boundary value problems, Amer. J. Math. 88 (1966), 781-809. 33. R. T. Seeley, Topics in pseudo-differential operators, Pseudo-Diff. , Stresa, 1968), 1969, pp. 167-305.

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Analysis, Geometry And Topology of Elliptic Operators: Papers in Honor of Krysztof P. Wojciechowski by Matthias Lesch, Bernhelm Booss-Bavnbek, Slawomir Klimek, Weiping Zhang


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