Analysis, geometry and topology of elliptic operators /:
Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; sp...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore ; Hackensack, NJ :
World Scientific,
©2006.
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Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievem. |
Beschreibung: | "On May 20-22, 2005, a workshop was held at Roskilde University in Denmark to honour Krzysztof P. Wojciechowski on his 50th birthday. This volume collects the papers of that workshop"--Page ix. |
Beschreibung: | 1 online resource (xi, 540 pages) : illustrations |
Bibliographie: | Includes bibliographical references. |
ISBN: | 9812773606 9789812773609 |
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505 | 0 | |a pt. I. On the mathematical work of Krzysztof P. Wojciechowski. Selected aspects of the mathematical work of Krzysztof P. Wojciechowski / Matthias Lesch. Gluing formulae of spectral invariants and cauchy data spaces / Jinsung Park -- pt. II. Topological theories. The behavior of the analytic index under nontrivial embedding / David Bleecker. Critical points of polynomials in three complex variables / Liviu I. Nicolaescu. Chern-Weil forms associated with superconnections / Sylvie Paycha and Simon Scott -- pt. III. Heat kernel calculations and surgery. Non-laplace type operators on manifolds with boundary / Ivan G. Avramidi. Eta invariants for manifold with boundary / Xianzhe Dai. Heat kernels of the sub-laplacian and the laplacian on nilpotent lie groups / Kenro Furutani. Remarks on nonlocal trace expansion coefficients / Gerd Grubb. An anomaly formula for L2-analytic torsions on manifolds with boundary / Xiaonan Ma and Weiping Zhang. Conformal anomalies via canonical traces / Sylvie Paycha and Steven Rosenberg -- pt. IV. Noncommutative geometry. An analytic approach to spectral flow in von Neumann algebras / Moulay-Tahar Benameur [and others]. Elliptic operators on infinite graphs / Józef Dodziuk. A new kind of index theorem / Ronald G. Douglas. A note on noncommutative holomorphic and harmonic functions on the unit disk / Slawomir Klimek. Star products and central extensions / Jouko Mickelsson. An elementary proof of the homotopy equivalence between the restricted general linear group and the space of Fredholm operators / Tilmann Wurzbacher -- pt. V. Theoretical particle, string and membrane physics, and Hamiltonian dynamics. T-duality for non-free circle actions / Ulrich Bunke and Thomas Schick. A new spectral cancellation in quantum gravity / Giampiero Esposito [and others]. A generalized Morse index theorem / Chaofeng Zhu. | |
520 | |a Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievem. | ||
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650 | 0 | |a Differential equations, Elliptic. |0 http://id.loc.gov/authorities/subjects/sh85037895 | |
650 | 0 | |a Topology. |0 http://id.loc.gov/authorities/subjects/sh85136089 | |
650 | 0 | |a Boundary value problems. |0 http://id.loc.gov/authorities/subjects/sh85016102 | |
650 | 6 | |a Opérateurs elliptiques. | |
650 | 6 | |a Équations différentielles elliptiques. | |
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contents | pt. I. On the mathematical work of Krzysztof P. Wojciechowski. Selected aspects of the mathematical work of Krzysztof P. Wojciechowski / Matthias Lesch. Gluing formulae of spectral invariants and cauchy data spaces / Jinsung Park -- pt. II. Topological theories. The behavior of the analytic index under nontrivial embedding / David Bleecker. Critical points of polynomials in three complex variables / Liviu I. Nicolaescu. Chern-Weil forms associated with superconnections / Sylvie Paycha and Simon Scott -- pt. III. Heat kernel calculations and surgery. Non-laplace type operators on manifolds with boundary / Ivan G. Avramidi. Eta invariants for manifold with boundary / Xianzhe Dai. Heat kernels of the sub-laplacian and the laplacian on nilpotent lie groups / Kenro Furutani. Remarks on nonlocal trace expansion coefficients / Gerd Grubb. An anomaly formula for L2-analytic torsions on manifolds with boundary / Xiaonan Ma and Weiping Zhang. Conformal anomalies via canonical traces / Sylvie Paycha and Steven Rosenberg -- pt. IV. Noncommutative geometry. An analytic approach to spectral flow in von Neumann algebras / Moulay-Tahar Benameur [and others]. Elliptic operators on infinite graphs / Józef Dodziuk. A new kind of index theorem / Ronald G. Douglas. A note on noncommutative holomorphic and harmonic functions on the unit disk / Slawomir Klimek. Star products and central extensions / Jouko Mickelsson. An elementary proof of the homotopy equivalence between the restricted general linear group and the space of Fredholm operators / Tilmann Wurzbacher -- pt. V. Theoretical particle, string and membrane physics, and Hamiltonian dynamics. T-duality for non-free circle actions / Ulrich Bunke and Thomas Schick. A new spectral cancellation in quantum gravity / Giampiero Esposito [and others]. A generalized Morse index theorem / Chaofeng Zhu. |
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dewey-search | 515/.7242 |
dewey-sort | 3515 47242 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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publisher | World Scientific, |
record_format | marc |
spelling | Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek [and others]. Singapore ; Hackensack, NJ : World Scientific, ©2006. 1 online resource (xi, 540 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda "On May 20-22, 2005, a workshop was held at Roskilde University in Denmark to honour Krzysztof P. Wojciechowski on his 50th birthday. This volume collects the papers of that workshop"--Page ix. Includes bibliographical references. Print version record. pt. I. On the mathematical work of Krzysztof P. Wojciechowski. Selected aspects of the mathematical work of Krzysztof P. Wojciechowski / Matthias Lesch. Gluing formulae of spectral invariants and cauchy data spaces / Jinsung Park -- pt. II. Topological theories. The behavior of the analytic index under nontrivial embedding / David Bleecker. Critical points of polynomials in three complex variables / Liviu I. Nicolaescu. Chern-Weil forms associated with superconnections / Sylvie Paycha and Simon Scott -- pt. III. Heat kernel calculations and surgery. Non-laplace type operators on manifolds with boundary / Ivan G. Avramidi. Eta invariants for manifold with boundary / Xianzhe Dai. Heat kernels of the sub-laplacian and the laplacian on nilpotent lie groups / Kenro Furutani. Remarks on nonlocal trace expansion coefficients / Gerd Grubb. An anomaly formula for L2-analytic torsions on manifolds with boundary / Xiaonan Ma and Weiping Zhang. Conformal anomalies via canonical traces / Sylvie Paycha and Steven Rosenberg -- pt. IV. Noncommutative geometry. An analytic approach to spectral flow in von Neumann algebras / Moulay-Tahar Benameur [and others]. Elliptic operators on infinite graphs / Józef Dodziuk. A new kind of index theorem / Ronald G. Douglas. A note on noncommutative holomorphic and harmonic functions on the unit disk / Slawomir Klimek. Star products and central extensions / Jouko Mickelsson. An elementary proof of the homotopy equivalence between the restricted general linear group and the space of Fredholm operators / Tilmann Wurzbacher -- pt. V. Theoretical particle, string and membrane physics, and Hamiltonian dynamics. T-duality for non-free circle actions / Ulrich Bunke and Thomas Schick. A new spectral cancellation in quantum gravity / Giampiero Esposito [and others]. A generalized Morse index theorem / Chaofeng Zhu. Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics. The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievem. Elliptic operators. http://id.loc.gov/authorities/subjects/sh85042607 Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Topology. http://id.loc.gov/authorities/subjects/sh85136089 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Opérateurs elliptiques. Équations différentielles elliptiques. Topologie. Problèmes aux limites. MATHEMATICS Functional Analysis. bisacsh Boundary value problems fast Differential equations, Elliptic fast Elliptic operators fast Topology fast Booss, Bernhelm, 1941- https://id.oclc.org/worldcat/entity/E39PBJkXwyjpyb7CBR4VdkhbVC Wojciechowski, Krzysztof P., 1953- https://id.oclc.org/worldcat/entity/E39PCjFPX6VKc4kbp8PxvYCDG3 http://id.loc.gov/authorities/names/n93010058 has work: Analysis, geometry and topology of elliptic operators (Text) https://id.oclc.org/worldcat/entity/E39PCFD7PyHdT43DgrYVPGPyBd https://id.oclc.org/worldcat/ontology/hasWork Print version: Analysis, geometry and topology of elliptic operators. Singapore ; Hackensack, NJ : World Scientific, ©2006 (DLC) 2006298053 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210574 Volltext |
spellingShingle | Analysis, geometry and topology of elliptic operators / pt. I. On the mathematical work of Krzysztof P. Wojciechowski. Selected aspects of the mathematical work of Krzysztof P. Wojciechowski / Matthias Lesch. Gluing formulae of spectral invariants and cauchy data spaces / Jinsung Park -- pt. II. Topological theories. The behavior of the analytic index under nontrivial embedding / David Bleecker. Critical points of polynomials in three complex variables / Liviu I. Nicolaescu. Chern-Weil forms associated with superconnections / Sylvie Paycha and Simon Scott -- pt. III. Heat kernel calculations and surgery. Non-laplace type operators on manifolds with boundary / Ivan G. Avramidi. Eta invariants for manifold with boundary / Xianzhe Dai. Heat kernels of the sub-laplacian and the laplacian on nilpotent lie groups / Kenro Furutani. Remarks on nonlocal trace expansion coefficients / Gerd Grubb. An anomaly formula for L2-analytic torsions on manifolds with boundary / Xiaonan Ma and Weiping Zhang. Conformal anomalies via canonical traces / Sylvie Paycha and Steven Rosenberg -- pt. IV. Noncommutative geometry. An analytic approach to spectral flow in von Neumann algebras / Moulay-Tahar Benameur [and others]. Elliptic operators on infinite graphs / Józef Dodziuk. A new kind of index theorem / Ronald G. Douglas. A note on noncommutative holomorphic and harmonic functions on the unit disk / Slawomir Klimek. Star products and central extensions / Jouko Mickelsson. An elementary proof of the homotopy equivalence between the restricted general linear group and the space of Fredholm operators / Tilmann Wurzbacher -- pt. V. Theoretical particle, string and membrane physics, and Hamiltonian dynamics. T-duality for non-free circle actions / Ulrich Bunke and Thomas Schick. A new spectral cancellation in quantum gravity / Giampiero Esposito [and others]. A generalized Morse index theorem / Chaofeng Zhu. Elliptic operators. http://id.loc.gov/authorities/subjects/sh85042607 Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Topology. http://id.loc.gov/authorities/subjects/sh85136089 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Opérateurs elliptiques. Équations différentielles elliptiques. Topologie. Problèmes aux limites. MATHEMATICS Functional Analysis. bisacsh Boundary value problems fast Differential equations, Elliptic fast Elliptic operators fast Topology fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85042607 http://id.loc.gov/authorities/subjects/sh85037895 http://id.loc.gov/authorities/subjects/sh85136089 http://id.loc.gov/authorities/subjects/sh85016102 |
title | Analysis, geometry and topology of elliptic operators / |
title_auth | Analysis, geometry and topology of elliptic operators / |
title_exact_search | Analysis, geometry and topology of elliptic operators / |
title_full | Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek [and others]. |
title_fullStr | Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek [and others]. |
title_full_unstemmed | Analysis, geometry and topology of elliptic operators / editors, Bernhelm Booss-Bavnbek [and others]. |
title_short | Analysis, geometry and topology of elliptic operators / |
title_sort | analysis geometry and topology of elliptic operators |
topic | Elliptic operators. http://id.loc.gov/authorities/subjects/sh85042607 Differential equations, Elliptic. http://id.loc.gov/authorities/subjects/sh85037895 Topology. http://id.loc.gov/authorities/subjects/sh85136089 Boundary value problems. http://id.loc.gov/authorities/subjects/sh85016102 Opérateurs elliptiques. Équations différentielles elliptiques. Topologie. Problèmes aux limites. MATHEMATICS Functional Analysis. bisacsh Boundary value problems fast Differential equations, Elliptic fast Elliptic operators fast Topology fast |
topic_facet | Elliptic operators. Differential equations, Elliptic. Topology. Boundary value problems. Opérateurs elliptiques. Équations différentielles elliptiques. Topologie. Problèmes aux limites. MATHEMATICS Functional Analysis. Boundary value problems Differential equations, Elliptic Elliptic operators Topology |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210574 |
work_keys_str_mv | AT boossbernhelm analysisgeometryandtopologyofellipticoperators AT wojciechowskikrzysztofp analysisgeometryandtopologyofellipticoperators |