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Biblioteca

MARC Lista (tabellare)
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
Opac: Controlla la disponibilità qui
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
Opac: Controlla la disponibilità qui
Heat kernels and Dirac operators / Nicole Berline, Ezra Getzler, Micháele Vergne
Heat kernels and Dirac operators / Nicole Berline, Ezra Getzler, Micháele Vergne
Autore Berline, Nicole
Pubbl/distr/stampa Berlin : Springer, c2004
Descrizione fisica ix, 363 p. ; 24 cm
Disciplina 515.353
Altri autori (Persone) Getzler, Ezraauthor
Vergne, Micháeleauthor
Collana Grundlehren text editions, 1618-2685
Soggetto topico Heat equation
Dirac equation
Index theorems
Differential forms
ISBN 3540200622
Classificazione AMS 58G10
AMS 53C05
LC QA377.B49
AMS 58A10
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000459889707536
Berline, Nicole  
Berlin : Springer, c2004
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Heat Kernels and Dirac operators / Nicole Berline, Ezra Getzler, Michèle Vergne
Heat Kernels and Dirac operators / Nicole Berline, Ezra Getzler, Michèle Vergne
Autore Berline, Nicole
Pubbl/distr/stampa Berlin : Springer-Verlag, 1996
Descrizione fisica vii, 369 p. ; 25 cm
Disciplina 515.353
Altri autori (Persone) Getzler, Ezraauthor
Vergne, Michèleauthor
Collana Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 298
Soggetto topico Differential forms
Dirac equation
Heat equation
Index theorems
ISBN 3540533400
Classificazione AMS 53C05
AMS 58A10
AMS 58G10
AMS 58G11
LC QA377.B49
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000977809707536
Berline, Nicole  
Berlin : Springer-Verlag, 1996
Materiale a stampa
Lo trovi qui: Univ. del Salento
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The index theorem and the heat equation / Peter Gilkey
The index theorem and the heat equation / Peter Gilkey
Autore Gilkey, Peter B.
Pubbl/distr/stampa Boston, MA : Publish or Perish, 1974
Descrizione fisica 125 p. ; 26 cm.
Collana Mathematics lecture series ; 4
Soggetto topico Differential operators
Index theorems
Manifolds (Mathematics)
Classificazione 510.35
514'.7
QA614
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991001002029707536
Gilkey, Peter B.  
Boston, MA : Publish or Perish, 1974
Materiale a stampa
Lo trovi qui: Univ. del Salento
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The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba
The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba
Autore Tomi Friedrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1995
Descrizione fisica 1 online resource (90 p.)
Disciplina 516.3/62
Altri autori (Persone) TrombaAnthony
Collana Memoirs of the American Mathematical Society
Soggetto topico Minimal surfaces
Plateau's problem
Index theorems
Soggetto genere / forma Electronic books.
ISBN 1-4704-0139-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Â0 Introduction""; ""Â1 The Differential Geometric Approach to Teichmuller Theory""; ""2 Minimal Surfaces of Higher Genus as Critical Points of Dirichlet's Functional""; ""Â3 Review of Some Basic Results in Riemann Surface Theory""; ""Â4 Vector Bundles over Teichmuller Space""; ""Â5 Minimal Surfaces of Higher Genus as the Zeros of a Vector Field and the Conformality Operators""; ""Â6 The Corank of the Partial Conformality Operators""; ""Â7 The Corank of the Complete Conformality Operators""; ""Â8 Manifolds of Harmonic Surfaces of Prescribed Branching""
""Â9 The Index Theorem""""Appendix I A Supplement to the Boundary Regularity Theorems for Minimal Surfaces""; ""Appendix II Maximal Ideals in Sobolev Algebras of Holomorphic Functions""; ""References""
Record Nr. UNINA-9910480045803321
Tomi Friedrich  
Providence, Rhode Island : , : American Mathematical Society, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
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The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba
The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba
Autore Tomi Friedrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1995
Descrizione fisica 1 online resource (90 p.)
Disciplina 516.3/62
Altri autori (Persone) TrombaAnthony
Collana Memoirs of the American Mathematical Society
Soggetto topico Minimal surfaces
Plateau's problem
Index theorems
ISBN 1-4704-0139-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Â0 Introduction""; ""Â1 The Differential Geometric Approach to Teichmuller Theory""; ""2 Minimal Surfaces of Higher Genus as Critical Points of Dirichlet's Functional""; ""Â3 Review of Some Basic Results in Riemann Surface Theory""; ""Â4 Vector Bundles over Teichmuller Space""; ""Â5 Minimal Surfaces of Higher Genus as the Zeros of a Vector Field and the Conformality Operators""; ""Â6 The Corank of the Partial Conformality Operators""; ""Â7 The Corank of the Complete Conformality Operators""; ""Â8 Manifolds of Harmonic Surfaces of Prescribed Branching""
""Â9 The Index Theorem""""Appendix I A Supplement to the Boundary Regularity Theorems for Minimal Surfaces""; ""Appendix II Maximal Ideals in Sobolev Algebras of Holomorphic Functions""; ""References""
Record Nr. UNINA-9910788758303321
Tomi Friedrich  
Providence, Rhode Island : , : American Mathematical Society, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba
The index theorem for minimal surfaces of higher genus / / F. Tomi, A. J. Tromba
Autore Tomi Friedrich
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1995
Descrizione fisica 1 online resource (90 p.)
Disciplina 516.3/62
Altri autori (Persone) TrombaAnthony
Collana Memoirs of the American Mathematical Society
Soggetto topico Minimal surfaces
Plateau's problem
Index theorems
ISBN 1-4704-0139-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Â0 Introduction""; ""Â1 The Differential Geometric Approach to Teichmuller Theory""; ""2 Minimal Surfaces of Higher Genus as Critical Points of Dirichlet's Functional""; ""Â3 Review of Some Basic Results in Riemann Surface Theory""; ""Â4 Vector Bundles over Teichmuller Space""; ""Â5 Minimal Surfaces of Higher Genus as the Zeros of a Vector Field and the Conformality Operators""; ""Â6 The Corank of the Partial Conformality Operators""; ""Â7 The Corank of the Complete Conformality Operators""; ""Â8 Manifolds of Harmonic Surfaces of Prescribed Branching""
""Â9 The Index Theorem""""Appendix I A Supplement to the Boundary Regularity Theorems for Minimal Surfaces""; ""Appendix II Maximal Ideals in Sobolev Algebras of Holomorphic Functions""; ""References""
Record Nr. UNINA-9910827874403321
Tomi Friedrich  
Providence, Rhode Island : , : American Mathematical Society, , 1995
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lectures on Chern-Weil theory and Witten deformations [[electronic resource] /] / Weiping Zhang
Lectures on Chern-Weil theory and Witten deformations [[electronic resource] /] / Weiping Zhang
Autore Zhang Weiping
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (131 p.)
Disciplina 514.72
516.36
Collana Nankai tracts in mathematics
Soggetto topico Chern classes
Index theorems
Complexes
Soggetto genere / forma Electronic books.
ISBN 981-238-658-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Chapter 1 Chern-Weil Theory for Characteristic Classes; 1.1 Review of the de Rham Cohomology Theory; 1.2 Connections on Vector Bundles; 1.3 The Curvature of a Connection; 1.4 Chern-Weil Theorem; 1.5 Characteristic Forms, Classes and Numbers; 1.6 Some Examples; 1.6.1 Chern Forms and Classes; 1.6.2 Pontrjagin Classes for Real Vector Bundles; 1.6.3 Hirzebruch's L-class and A-class; 1.6.4 K-groups and the Chern Character; 1.6.5 The Chern-Simons Transgressed Form; 1.7 Bott Vanishing Theorem for Foliations; 1.7.1 Foliations and the Bott Vanishing Theorem
1.7.2 Adiabatic Limit and the Bott Connection1.8 Chern-Weil Theory in Odd Dimension; 1.9 References; Chapter 2 Bott and Duistermaat-Heckman Formulas; 2.1 Berline-Vergne Localization Formula; 2.2 Bott Residue Formula; 2.3 Duistermaat-Heckman Formula; 2.4 Bott's Original Idea; 2.5 References; Chapter 3 Gauss-Bonnet-Chern Theorem; 3.1 A Toy Model and the Berezin Integral; 3.2 Mathai-Quillen's Thom Form; 3.3 A Transgression Formula; 3.4 Proof of the Gauss-Bonnet-Chern Theorem; 3.5 Some Remarks; 3.6 Chern's Original Proof; 3.7 References; Chapter 4 Poincare-Hopf Index Formula: an Analytic Proof
4.1 Review of Hodge Theorem4.2 Poincare-Hopf Index Formula; 4.3 Clifford Actions and the Witten Deformation; 4.4 An Estimate Outside of Up zero(V) Up; 4.5 Harmonic Oscillators on Euclidean Spaces; 4.6 A Proof of the Poincare-Hopf Index Formula; 4.7 Some Estimates for DT,i's, 2 i 4; 4.8 An Alternate Analytic Proof; 4.9 References; Chapter 5 Morse Inequalities: an Analytic Proof; 5.1 Review of Morse Inequalities; 5.2 Witten Deformation; 5.3 Hodge Theorem for ( * (M), dTf; 5.4 Behaviour of rf Near the Critical Points of f; 5.5 Proof of Morse Inequalities; 5.6 Proof of Proposition 5.5
5.7 Some Remarks and Comments5.8 References; Chapter 6 Thom-Smale and Witten Complexes; 6.1 The Thom-Smale Complex; 6.2 The de Rham Map for Thom-Smale Complexes; 6.3 Witten's Instanton Complex and the Map eT; 6.4 The Map P, TeT; 6.5 An Analytic Proof of Theorem 6.4; 6.6 References; Chapter 7 Atiyah Theorem on Kervaire Semi-characteristic; 7.1 Kervaire Semi-characteristic; 7.2 Atiyah's Original Proof; 7.3 A proof via Witten Deformation; 7.4 A Generic Counting Formula for k(M ); 7.5 Non-multiplicativity of k(M); 7.6 References; Index
Record Nr. UNINA-9910456151603321
Zhang Weiping  
River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Lectures on Chern-Weil theory and Witten deformations [[electronic resource] /] / Weiping Zhang
Lectures on Chern-Weil theory and Witten deformations [[electronic resource] /] / Weiping Zhang
Autore Zhang Weiping
Pubbl/distr/stampa River Edge, N.J., : World Scientific, c2001
Descrizione fisica 1 online resource (131 p.)
Disciplina 514.72
516.36
Collana Nankai tracts in mathematics
Soggetto topico Chern classes
Index theorems
Complexes
ISBN 981-238-658-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Chapter 1 Chern-Weil Theory for Characteristic Classes; 1.1 Review of the de Rham Cohomology Theory; 1.2 Connections on Vector Bundles; 1.3 The Curvature of a Connection; 1.4 Chern-Weil Theorem; 1.5 Characteristic Forms, Classes and Numbers; 1.6 Some Examples; 1.6.1 Chern Forms and Classes; 1.6.2 Pontrjagin Classes for Real Vector Bundles; 1.6.3 Hirzebruch's L-class and A-class; 1.6.4 K-groups and the Chern Character; 1.6.5 The Chern-Simons Transgressed Form; 1.7 Bott Vanishing Theorem for Foliations; 1.7.1 Foliations and the Bott Vanishing Theorem
1.7.2 Adiabatic Limit and the Bott Connection1.8 Chern-Weil Theory in Odd Dimension; 1.9 References; Chapter 2 Bott and Duistermaat-Heckman Formulas; 2.1 Berline-Vergne Localization Formula; 2.2 Bott Residue Formula; 2.3 Duistermaat-Heckman Formula; 2.4 Bott's Original Idea; 2.5 References; Chapter 3 Gauss-Bonnet-Chern Theorem; 3.1 A Toy Model and the Berezin Integral; 3.2 Mathai-Quillen's Thom Form; 3.3 A Transgression Formula; 3.4 Proof of the Gauss-Bonnet-Chern Theorem; 3.5 Some Remarks; 3.6 Chern's Original Proof; 3.7 References; Chapter 4 Poincare-Hopf Index Formula: an Analytic Proof
4.1 Review of Hodge Theorem4.2 Poincare-Hopf Index Formula; 4.3 Clifford Actions and the Witten Deformation; 4.4 An Estimate Outside of Up zero(V) Up; 4.5 Harmonic Oscillators on Euclidean Spaces; 4.6 A Proof of the Poincare-Hopf Index Formula; 4.7 Some Estimates for DT,i's, 2 i 4; 4.8 An Alternate Analytic Proof; 4.9 References; Chapter 5 Morse Inequalities: an Analytic Proof; 5.1 Review of Morse Inequalities; 5.2 Witten Deformation; 5.3 Hodge Theorem for ( * (M), dTf; 5.4 Behaviour of rf Near the Critical Points of f; 5.5 Proof of Morse Inequalities; 5.6 Proof of Proposition 5.5
5.7 Some Remarks and Comments5.8 References; Chapter 6 Thom-Smale and Witten Complexes; 6.1 The Thom-Smale Complex; 6.2 The de Rham Map for Thom-Smale Complexes; 6.3 Witten's Instanton Complex and the Map eT; 6.4 The Map P, TeT; 6.5 An Analytic Proof of Theorem 6.4; 6.6 References; Chapter 7 Atiyah Theorem on Kervaire Semi-characteristic; 7.1 Kervaire Semi-characteristic; 7.2 Atiyah's Original Proof; 7.3 A proof via Witten Deformation; 7.4 A Generic Counting Formula for k(M ); 7.5 Non-multiplicativity of k(M); 7.6 References; Index
Record Nr. UNINA-9910780601303321
Zhang Weiping  
River Edge, N.J., : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui