By Matthias Lesch, Bernhelm Booβ-Bavnbek, Slawomir Klimek, Weiping Zhang
Smooth thought of elliptic operators, or just elliptic idea, has been formed via the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic concept over a huge variety, 32 best scientists from 14 diverse international locations current contemporary advancements in topology; warmth kernel ideas; 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 ultimate to graduate scholars and researchers drawn to cautious expositions of newly-evolved achievements and views in elliptic thought. The contributions are in response to lectures awarded at a workshop acknowledging Krzysztof P Wojciechowski's paintings within the thought of elliptic operators.
Read Online or Download Analysis, Geometry and Topology of Elliptic Operators: Papers in Honor of Krzysztof P Wojciechowski PDF
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Additional info for Analysis, Geometry and Topology of Elliptic Operators: Papers in Honor of Krzysztof P Wojciechowski
Peters, Wellesley, 1993. 23. W. Miiller, On the L -index of Dirac operators on manifolds with corners of codimension two. I, J. Differential Geom. 44 (1996), 97-177. 24. 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.
Mazzeo, and R. B. Melrose, Analytic surgery and the accumulation of eigenvalues, Comm. Anal. Geom. 3 (1995), 115-222. 13. A. Hassell and S. Zelditch, Determinants of Laplacians in exterior domains, IMRN 18 (1999), 971-1004. Gluing formulae of spectral invariants and Cauchy data spaces 37 14. P. Kirk and M. Lesch, The eta invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary, Forum Math. 16 (2004), 553-629. 15. Y. Lee, Burghelea-Friedlander-Kappeler's gluing formula for the zetadeterminant and its applications to the adiabatic decompositions of the zetadeterminant and the analytic torsion, Trans.
7-8, 1407-1435. 26. J. Park and K. P. Wojciechowski, Scattering theory and adiabatic decomposition of the (^-determinant of the Dirac Laplacian, Math. Res. Lett. 9 (2002), no. 1, 17-25. 27. J. Park and K. P. Wojciechowski, Adiabatic decomposition of the ^-determinant and Scattering theory, Michigan Math. DG/0111046 . 28. J. Park and K. P. Wojciechowski, Adiabatic decomposition of the zetadeterminant and the Dirichlet to Neumann operator, J. Geom. Phys. 55 (2005), 241-266. 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.