Higher complex torsion and the framing principle / / Kiyoshi Igusa |
Autore | Igusa Kiyoshi <1949-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
Descrizione fisica | 1 online resource (114 p.) |
Disciplina |
510 s
514/.72 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Reidemeister torsion
Differentiable mappings Diffeomorphisms |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0436-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1. Higher Franz-Reidemeister torsion""; ""0.2. Construction of Ï?[sub(k)]""; ""0.3. Framing Principle""; ""0.4. Complex torsion""; ""Chapter 1. Complex torsion""; ""1.1. Definition for closed AC fibers""; ""1.2. Generalized Miller-Morita-Mumford classes""; ""1.3. Complex Framing Principle""; ""1.4. Nonempty boundary case""; ""Chapter 2. Definition of higher FRâ€?torsion""; ""2.1. Generalized Morse functions""; ""2.2. Families of chain complexes""; ""2.3. Monomial functors""; ""2.4. Filtered chain complexes""; ""2.5. Subfunctors""
""2.6. The Whitehead category""""2.7. Definition in acyclic case""; ""2.8. Families of matrices as flat superconnections""; ""2.9. Independence of birth-death points""; ""2.10. Positive suspension lemma""; ""2.11. Definition in upper triangular case""; ""Chapter 3. Properties of higher FR�torsion""; ""3.1. Basic properties""; ""3.2. Suspension Theorem""; ""3.3. Additivity, Splitting Lemma""; ""3.4. Applications of the Splitting Lemma""; ""3.5. Local equivalence lemma""; ""3.6. Product formula""; ""3.7. Transfer for coverings""; ""3.8. More transfer formulas"" ""Chapter 4. The Framing Principle""""4.1. Statement for Morse bundles""; ""4.2. General statement""; ""4.3. Push-down/transfer""; ""4.4. The Framing Principle""; ""Chapter 5. Proof of the Framing Principle""; ""5.1. Transfer theorem""; ""5.2. Stratified deformation lemma""; ""5.3. Proof of transfer theorem""; ""5.4. Proof of Framing Principle""; ""Chapter 6. Applications of the Framing Principle""; ""6.1. Torelli group""; ""6.2. Even dimensional fibers""; ""6.3. Unoriented fibers""; ""6.4. Vertical normal disk bundle""; ""Chapter 7. The Stability Theorem""; ""7.1. Definitions"" ""7.2. Stability for C(M)""""7.3. Involution""; ""7.4. Disks and spheres""; ""7.5. Relation to higher torsion""; ""Bibliography"" |
Record Nr. | UNINA-9910479865003321 |
Igusa Kiyoshi <1949-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Higher complex torsion and the framing principle / / Kiyoshi Igusa |
Autore | Igusa Kiyoshi <1949-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
Descrizione fisica | 1 online resource (114 p.) |
Disciplina |
510 s
514/.72 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Reidemeister torsion
Differentiable mappings Diffeomorphisms |
ISBN | 1-4704-0436-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1. Higher Franz-Reidemeister torsion""; ""0.2. Construction of Ï?[sub(k)]""; ""0.3. Framing Principle""; ""0.4. Complex torsion""; ""Chapter 1. Complex torsion""; ""1.1. Definition for closed AC fibers""; ""1.2. Generalized Miller-Morita-Mumford classes""; ""1.3. Complex Framing Principle""; ""1.4. Nonempty boundary case""; ""Chapter 2. Definition of higher FRâ€?torsion""; ""2.1. Generalized Morse functions""; ""2.2. Families of chain complexes""; ""2.3. Monomial functors""; ""2.4. Filtered chain complexes""; ""2.5. Subfunctors""
""2.6. The Whitehead category""""2.7. Definition in acyclic case""; ""2.8. Families of matrices as flat superconnections""; ""2.9. Independence of birth-death points""; ""2.10. Positive suspension lemma""; ""2.11. Definition in upper triangular case""; ""Chapter 3. Properties of higher FR�torsion""; ""3.1. Basic properties""; ""3.2. Suspension Theorem""; ""3.3. Additivity, Splitting Lemma""; ""3.4. Applications of the Splitting Lemma""; ""3.5. Local equivalence lemma""; ""3.6. Product formula""; ""3.7. Transfer for coverings""; ""3.8. More transfer formulas"" ""Chapter 4. The Framing Principle""""4.1. Statement for Morse bundles""; ""4.2. General statement""; ""4.3. Push-down/transfer""; ""4.4. The Framing Principle""; ""Chapter 5. Proof of the Framing Principle""; ""5.1. Transfer theorem""; ""5.2. Stratified deformation lemma""; ""5.3. Proof of transfer theorem""; ""5.4. Proof of Framing Principle""; ""Chapter 6. Applications of the Framing Principle""; ""6.1. Torelli group""; ""6.2. Even dimensional fibers""; ""6.3. Unoriented fibers""; ""6.4. Vertical normal disk bundle""; ""Chapter 7. The Stability Theorem""; ""7.1. Definitions"" ""7.2. Stability for C(M)""""7.3. Involution""; ""7.4. Disks and spheres""; ""7.5. Relation to higher torsion""; ""Bibliography"" |
Record Nr. | UNINA-9910788749803321 |
Igusa Kiyoshi <1949-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Higher complex torsion and the framing principle / / Kiyoshi Igusa |
Autore | Igusa Kiyoshi <1949-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2005] |
Descrizione fisica | 1 online resource (114 p.) |
Disciplina |
510 s
514/.72 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Reidemeister torsion
Differentiable mappings Diffeomorphisms |
ISBN | 1-4704-0436-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""0.1. Higher Franz-Reidemeister torsion""; ""0.2. Construction of Ï?[sub(k)]""; ""0.3. Framing Principle""; ""0.4. Complex torsion""; ""Chapter 1. Complex torsion""; ""1.1. Definition for closed AC fibers""; ""1.2. Generalized Miller-Morita-Mumford classes""; ""1.3. Complex Framing Principle""; ""1.4. Nonempty boundary case""; ""Chapter 2. Definition of higher FRâ€?torsion""; ""2.1. Generalized Morse functions""; ""2.2. Families of chain complexes""; ""2.3. Monomial functors""; ""2.4. Filtered chain complexes""; ""2.5. Subfunctors""
""2.6. The Whitehead category""""2.7. Definition in acyclic case""; ""2.8. Families of matrices as flat superconnections""; ""2.9. Independence of birth-death points""; ""2.10. Positive suspension lemma""; ""2.11. Definition in upper triangular case""; ""Chapter 3. Properties of higher FR�torsion""; ""3.1. Basic properties""; ""3.2. Suspension Theorem""; ""3.3. Additivity, Splitting Lemma""; ""3.4. Applications of the Splitting Lemma""; ""3.5. Local equivalence lemma""; ""3.6. Product formula""; ""3.7. Transfer for coverings""; ""3.8. More transfer formulas"" ""Chapter 4. The Framing Principle""""4.1. Statement for Morse bundles""; ""4.2. General statement""; ""4.3. Push-down/transfer""; ""4.4. The Framing Principle""; ""Chapter 5. Proof of the Framing Principle""; ""5.1. Transfer theorem""; ""5.2. Stratified deformation lemma""; ""5.3. Proof of transfer theorem""; ""5.4. Proof of Framing Principle""; ""Chapter 6. Applications of the Framing Principle""; ""6.1. Torelli group""; ""6.2. Even dimensional fibers""; ""6.3. Unoriented fibers""; ""6.4. Vertical normal disk bundle""; ""Chapter 7. The Stability Theorem""; ""7.1. Definitions"" ""7.2. Stability for C(M)""""7.3. Involution""; ""7.4. Disks and spheres""; ""7.5. Relation to higher torsion""; ""Bibliography"" |
Record Nr. | UNINA-9910817250903321 |
Igusa Kiyoshi <1949-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2005] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Reidemeister torsion of 3-manifolds [[electronic resource] /] / Liviu I. Nicolaescu |
Autore | Nicolaescu Liviu I |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2003 |
Descrizione fisica | 1 online resource (263 p.) |
Disciplina | 514/.3 |
Collana | De Gruyter studies in mathematics |
Soggetto topico |
Three-manifolds (Topology)
Reidemeister torsion |
Soggetto genere / forma | Electronic books. |
ISBN |
1-282-19435-6
9786612194351 3-11-916192-6 3-11-019810-X |
Classificazione | SK 350 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Algebraic preliminaries -- Chapter 2. The Reidemeister torsion -- Chapter 3. Turaev's refined torsion -- Chapter 4. Alternative interpretations of the Reidemeister torsion -- Appendix A. Algebra -- Appendix B. Topology -- Back matter |
Altri titoli varianti | Reidemeister torsion of three-manifolds |
Record Nr. | UNINA-9910451757903321 |
Nicolaescu Liviu I | ||
Berlin ; ; New York, : Walter de Gruyter, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Reidemeister torsion of 3-manifolds [[electronic resource] /] / Liviu I. Nicolaescu |
Autore | Nicolaescu Liviu I |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2003 |
Descrizione fisica | 1 online resource (263 p.) |
Disciplina | 514/.3 |
Collana | De Gruyter studies in mathematics |
Soggetto topico |
Three-manifolds (Topology)
Reidemeister torsion |
ISBN |
1-282-19435-6
9786612194351 3-11-916192-6 3-11-019810-X |
Classificazione | SK 350 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Algebraic preliminaries -- Chapter 2. The Reidemeister torsion -- Chapter 3. Turaev's refined torsion -- Chapter 4. Alternative interpretations of the Reidemeister torsion -- Appendix A. Algebra -- Appendix B. Topology -- Back matter |
Altri titoli varianti | Reidemeister torsion of three-manifolds |
Record Nr. | UNINA-9910782193603321 |
Nicolaescu Liviu I | ||
Berlin ; ; New York, : Walter de Gruyter, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Reidemeister torsion of 3-manifolds [[electronic resource] /] / Liviu I. Nicolaescu |
Autore | Nicolaescu Liviu I |
Pubbl/distr/stampa | Berlin ; ; New York, : Walter de Gruyter, 2003 |
Descrizione fisica | 1 online resource (263 p.) |
Disciplina | 514/.3 |
Collana | De Gruyter studies in mathematics |
Soggetto topico |
Three-manifolds (Topology)
Reidemeister torsion |
ISBN |
1-282-19435-6
9786612194351 3-11-916192-6 3-11-019810-X |
Classificazione | SK 350 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Chapter 1. Algebraic preliminaries -- Chapter 2. The Reidemeister torsion -- Chapter 3. Turaev's refined torsion -- Chapter 4. Alternative interpretations of the Reidemeister torsion -- Appendix A. Algebra -- Appendix B. Topology -- Back matter |
Altri titoli varianti | Reidemeister torsion of three-manifolds |
Record Nr. | UNINA-9910811833503321 |
Nicolaescu Liviu I | ||
Berlin ; ; New York, : Walter de Gruyter, 2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Reidemeister torsion of 3-manifolds / Liviu I. Nicolaescu |
Autore | Nicolaescu, Liviu I. |
Pubbl/distr/stampa | Berlin ; New York : Walter de Gruyter, c2003 |
Descrizione fisica | xiv, 249 p. : ill. ; 25 cm |
Disciplina | 514.3 |
Collana | De Gruyter studies in mathematics ; 30 |
Soggetto topico |
Three-manifolds (Topology)
Reidemeister torsion |
ISBN | 3110173832 |
Classificazione |
AMS 57M27
LC QA613.2.N53 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Altri titoli varianti | Reidemeister torsion of three-manifolds |
Record Nr. | UNISALENTO-991000648929707536 |
Nicolaescu, Liviu I. | ||
Berlin ; New York : Walter de Gruyter, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Torsion de Reidemeister pour les variétés hyperboliques / / Joan Porti |
Autore | Porti Joan <1967-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1997 |
Descrizione fisica | 1 online resource (154 p.) |
Disciplina |
510 s
514/.3 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Three-manifolds (Topology)
Geometry, Hyperbolic Reidemeister torsion |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0197-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910479975503321 |
Porti Joan <1967-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1997 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Torsion de Reidemeister pour les variétés hyperboliques / / Joan Porti |
Autore | Porti Joan <1967-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1997 |
Descrizione fisica | 1 online resource (154 p.) |
Disciplina |
510 s
514/.3 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Three-manifolds (Topology)
Geometry, Hyperbolic Reidemeister torsion |
ISBN | 1-4704-0197-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910788732903321 |
Porti Joan <1967-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1997 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Torsion de Reidemeister pour les variétés hyperboliques / / Joan Porti |
Autore | Porti Joan <1967-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1997 |
Descrizione fisica | 1 online resource (154 p.) |
Disciplina |
510 s
514/.3 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Three-manifolds (Topology)
Geometry, Hyperbolic Reidemeister torsion |
ISBN | 1-4704-0197-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910811889203321 |
Porti Joan <1967-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1997 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|