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Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910458283503321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910784854603321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.]
| Analysis, geometry and topology of elliptic operators [[electronic resource] /] / editors, Bernhelm Booss-Bavnbek ... [et al.] |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2006 |
| Descrizione fisica | 1 online resource (553 p.) |
| Disciplina | 515/.7242 |
| Altri autori (Persone) |
BoossBernhelm <1941->
WojciechowskiKrzysztof P. <1953-> |
| Soggetto topico |
Elliptic operators
Differential equations, Elliptic Topology Boundary value problems |
| ISBN |
1-281-37900-X
9786611379001 981-277-360-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Contents ; Preface ; Part I. On the Mathematical Work of Krzysztof P. ; Selected Aspects of the Mathematical Work of Krzysztof P.Wojciechowski ; Gluing Formulae of Spectral Invariants and Cauchy Data Spaces ; Part II. Topological Theories
The Behavior of the Analytic Index under Nontrivial Embedding Critical Points of Polynomials in Three Complex Variables ; Chern-Weil Forms Associated with Superconnections ; Part III. Heat Kernel Calculations and Surgery ; Non-Laplace Type Operators on Manifolds with Boundary Eta Invariants for Manifold with Boundary Heat Kernels of the Sub-Laplacian and the Laplacian on Nilpotent Lie Groups ; Remarks on Nonlocal Trace Expansion Coefficients ; An Anomaly Formula for L2-Analytic Torsions on Manifolds with Boundary ; Conformal Anomalies via Canonical Traces Part IV. Noncommutative Geometry An Analytic Approach to Spectral Flow in von Neumann Algebras ; Elliptic Operators on Infinite Graphs ; A New Kind of Index Theorem ; A Note on Noncommutative Holomorphic and Harmonic Functions on the Unit Disk ; Star Products and Central Extensions An Elementary Proof of the Homotopy Equivalence between the Restricted General Linear Group and the Space of Fredholm Operators Part V. Theoretical Particle String and Membrane Physics and Hamiltonian Dynamics ; T-DUALITY FOR NON-FREE CIRCLE ACTIONS A New Spectral Cancellation in Quantum Gravity |
| Record Nr. | UNINA-9910813044403321 |
| Singapore ; ; Hackensack, NJ, : World Scientific, c2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors
| Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.7222 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theorems
Spectral theory (Mathematics) Geometry, Differential |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7832-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910479998603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors
| Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.7222 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theorems
Spectral theory (Mathematics) Geometry, Differential |
| ISBN | 0-8218-7832-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910788652503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors
| Geometric aspects of partial differential equations : proceedings of a Minisymposium on Spectral Invariants, Heat Equation Approach, September 18-19, 1998, Roskilde, Denmark / / Bernhelm Booss-Bavnbek, Krzysztof Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (282 p.) |
| Disciplina | 515/.7222 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Index theorems
Spectral theory (Mathematics) Geometry, Differential |
| ISBN | 0-8218-7832-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910811524903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors
| Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7956-1
0-8218-3536-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems""
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" ""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" ""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
| Record Nr. | UNINA-9910480977503321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors
| Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
| ISBN |
0-8218-7956-1
0-8218-3536-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems""
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" ""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" ""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
| Altri titoli varianti | Spectral geometry |
| Record Nr. | UNINA-9910788658403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors
| Spectral geometry of manifolds with boundary and decomposition of manifolds : proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003 / / Bernhelm Booss-Bavnbek, Gerd Grubb, Krzysztof P. Wojciechowski, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 515/.7242 |
| Collana | Contemporary mathematics |
| Soggetto topico |
K-theory
Operator algebras Pseudodifferential operators Fredholm operators |
| ISBN |
0-8218-7956-1
0-8218-3536-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Part I. Basic Material � Reviews""; ""Spectral Problems from Quantum Field Theory""; ""Euclidean Quantum Gravity in Light of Spectral Geometry""; ""Analysis of Invariants Associated with Spectral Boundary Problems for Elliptic Operators""; ""Part II. Spectral Invariants and Asymptotic Expansions""; ""A Resolvent Approach to Traces and Zeta Laurent Expansions""; ""Asymptotic Expansion of the Zeta�determinant of an Invertible Laplacian on a Stretched Manifold""; ""Agranovich�Dynin Formula for the Zeta�determinants of the Neumann and Dirichlet Problems""
""Part III. Geometric and Topological Problems""""The Calderón Projector for the Odd Signature Operator and Spectral Flow Calculations in 3�dimensional Topology""; ""Cut�and�paste on Foliated Bundles""; ""1. Introduction""; ""2. Spectral flow""; ""3. Foliated bundles, index classes and the noncommutative spectral flow""; ""4. Index classes on foliated bundles with boundary""; ""5. Fundamental properties of b-index classes""; ""6. On the cut-and-paste invariance of the signature index class""; ""7. Geometric applications""; ""References"" ""The Uniqueness of the Spectral Flow on Spaces of Unbounded Self�adjoint Fredholm Operators""""Variants of Equivariant Seiberg�Witten Floer Homology""; ""Part IV. Manifolds with Singularities""; ""Dirac Operators, Boundary Value Problems, and the b�calculus""; ""Guillemin Transform and Toeplitz Representations for Operators Singular Manifolds""; ""Pseudodifferential Operators on Non�compact Manifolds and Analysis on Polyhedral Domains""; ""Introduction""; ""1. Boundary value problems""; ""2. Lie algebras of vector fields""; ""3. Melrose's quantization problem"" ""4. An application to Fredholm conditions""""5. Examples""; ""6. Spectra""; ""References"" |
| Altri titoli varianti | Spectral geometry |
| Record Nr. | UNINA-9910811800103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||