Download Analysis, Geometry And Topology of Elliptic Operators: by Matthias Lesch, Bernhelm Booss-Bavnbek, Slawomir Klimek, PDF

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

Smooth thought of elliptic operators, or just elliptic idea, has been formed through the Atiyah-Singer Index Theorem created forty years in the past. Reviewing elliptic conception over a large diversity, 32 best scientists from 14 varied international locations current contemporary advancements in topology; warmth kernel concepts; spectral invariants and slicing and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. the 1st of its type, this quantity is ultimate to graduate scholars and researchers drawn to cautious expositions of newly-evolved achievements and views in elliptic concept. The contributions are in response to lectures offered at a workshop acknowledging Krzysztof P Wojciechowski's paintings within the conception of elliptic operators.

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Extra resources for Analysis, Geometry And Topology of Elliptic Operators: Papers in Honor of Krysztof P. Wojciechowski

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17. P. Loya and J. Park, On the gluing problem for the spectral invariants of Dirac operators, Adv. , to appear. 18. P. Loya and J. Park, On the gluing problem for Dirac operators on manifolds with cylindrical ends, J. Geom. Anal. 15 (2005), 285-319. 19. P. Loya and J. Park, The comparison problem for the spectral invariants of Dirac type operators, Preprint, 2004. 20. P. Loya and J. Park, £-determinants of Laplacians with Neumann and Dirichlet boundary conditions, J. Phys. A, 38 (2005), 8967-8977.

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. Aspects of the mathematical work of Krzysztof P. Wojciechowski 21 7. B.

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. 34. K. P. Wojciechowski, The additivity of the rj-invariant. The case of a singular tangential operator, Comm.

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