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Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups / / Richard D. Canary, Darryl McCullough
| Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups / / Richard D. Canary, Darryl McCullough |
| Autore | Canary Richard Douglas |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2004 |
| Descrizione fisica | 1 online resource (238 p.) |
| Disciplina | 514/.3 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Three-manifolds (Topology)
Homotopy equivalences Low-dimensional topology Kleinian groups |
| ISBN | 1-4704-0413-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Chapter 1. Introduction""; ""1.1. Motivation""; ""1.2. The main theorems for Haken 3-manifolds""; ""1.3. The main theorems for reducible 3-manifolds""; ""1.4. Examples""; ""Chapter 2. Johannson's Characteristic Submanifold Theory""; ""2.1. Fibered 3-manifolds""; ""2.2. Boundary patterns""; ""2.3. Admissible maps and mapping class groups""; ""2.4. Essential maps and useful boundary patterns""; ""2.5. The classical theorems""; ""2.6. Exceptional fibered 3-manifolds""; ""2.7. Vertical and horizontal surfaces and maps""; ""2.8. Fiber-preserving maps""
""2.9. The characteristic submanifold""""2.10. Examples of characteristic submanifolds""; ""2.11. The Classification Theorem""; ""2.12. Miscellaneous topological results""; ""Chapter 3. Relative Compression Bodies and Cores""; ""3.1. Relative compression bodies""; ""3.2. Minimally imbedded relative compression bodies""; ""3.3. The maximal incompressible core""; ""3.4. Normally imbedded relative compression bodies""; ""3.5. The normal core and the useful core""; ""Chapter 4. Homotopy Types""; ""4.1. Homotopy equivalences preserve usefulness""; ""4.2. Finiteness of homotopy types"" ""Chapter 5. Pared 3-Manifolds""""5.1. Definitions and basic properties""; ""5.2. The topology of pared manifolds""; ""5.3. The characteristic submanifold of a pared manifold""; ""Chapter 6. Small 3-Manifolds""; ""6.1. Small manifolds and small pared manifolds""; ""6.2. Small pared homotopy types""; ""Chapter 7. Geometrically Finite Hyperbolic 3-Manifolds""; ""7.1. Basic definitions""; ""7.2. Quasiconformal deformation theory: a review""; ""7.3. The Parameterization Theorem""; ""Chapter 8. Statements of Main Theorems""; ""8.1. Statements of Main Topological Theorems"" ""8.2. Statements of Main Hyperbolic Theorem and Corollary""""8.3. Derivation of hyperbolic results""; ""Chapter 9. The Case When There Is a Compressible Free Side""; ""9.1. Algebraic lemmas""; ""9.2. The finite-index cases""; ""9.3. The infinite-index cases""; ""Chapter 10. The Case When the Boundary Pattern Is Useful""; ""10.1. The homomorphism Î?""; ""10.2. Realizing homotopy equivalences of I-bundles""; ""10.3. Realizing homotopy equivalences of Seifert-fibered manifolds""; ""10.4. Proof of Main Topological Theorem 2""; ""Chapter 11. Dehn Flips"" ""Chapter 12. Finite Index Realization For Reducible 3-Manifolds""""12.1. Homeomorphisms of connected sums""; ""12.2. Reducible 3-manifolds with compressible boundary""; ""12.3. Reducible 3-manifolds with incompressible boundary""; ""Chapter 13. Epilogue""; ""13.1. More topology""; ""13.2. More geometry""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Altri titoli varianti | Homotopy equivalences of three-manifolds and deformation theory of Kleinian groups |
| Record Nr. | UNINA-9910812752403321 |
Canary Richard Douglas
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| Providence, Rhode Island : , : American Mathematical Society, , 2004 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Kleinian groups / Bernard Maskit
| Kleinian groups / Bernard Maskit |
| Autore | Maskit, Bernard |
| Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, c1988 |
| Descrizione fisica | xiii, 326 p. : ill. ; 24 cm |
| Disciplina | 515 |
| Collana | Grundlehren der mathematischen Wissenschaften = A series of comprehensive studies in mathematics, 0072-7830 ; 287 |
| Soggetto topico | Kleinian groups |
| ISBN | 3540177469 |
| Classificazione |
AMS 30F
AMS 30F40 LC QA331.M418 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001052959707536 |
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Maskit, Bernard
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| Berlin ; New York : Springer-Verlag, c1988 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Kleinian groups and related topics : proceedings of the Workshop held at Oaxtepec, Mexico, August 10-14, 1981 / edited by D. M. Gallo and R. M. Porter
| Kleinian groups and related topics : proceedings of the Workshop held at Oaxtepec, Mexico, August 10-14, 1981 / edited by D. M. Gallo and R. M. Porter |
| Autore | Gallo, Daniel M. |
| Pubbl/distr/stampa | Berlin : Springer-Verlag, 1983 |
| Descrizione fisica | 117 p. ; 25 cm. |
| Disciplina | 515 |
| Altri autori (Persone) | Porter, R. Michel |
| Collana | Lecture notes in mathematics, 0075-8434 ; 971 |
| Soggetto topico |
Kleinian groups
Riemann surfaces |
| ISBN | 3540119752 |
| Classificazione |
AMS 14H35
AMS 30F AMS 30F40 AMS 32G15 AMS 51M10 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001053029707536 |
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Gallo, Daniel M.
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| Berlin : Springer-Verlag, 1983 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
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Kleinian groups and related topics : proceedings of the workshop held at Oaxtepec, Mexico, August 10 - 14, 1981 / / D. M. Gallo and R. M. Porter (editors)
| Kleinian groups and related topics : proceedings of the workshop held at Oaxtepec, Mexico, August 10 - 14, 1981 / / D. M. Gallo and R. M. Porter (editors) |
| Edizione | [1st ed. 1983.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1983] |
| Descrizione fisica | 1 online resource (VIII, 124 p.) |
| Disciplina | 515 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Kleinian groups
Riemann surfaces Geometry, Hyperbolic |
| ISBN | 3-540-39426-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Lifting surface groups to SL(2, ?)* -- NEC groups and Klein surfaces -- Remarks on the cyclotomic Fricke groups -- On the Noether gap theorem -- A 3-dimensional hyperbolic collar lemma -- Projective structures on open surfaces -- The Teichmuller-kobayashi metric for infinite dimensional complex teichmuller spaces -- The elementary theory of correspondences -- Panelled web groups -- Prescribed monodromy on noncompact surfaces. |
| Record Nr. | UNISA-996466864203316 |
| Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1983] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika
| Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika |
| Autore | Ōshika Kenʼichi <1961-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina |
510 s
514/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kleinian groups
Low-dimensional topology Geometry, Hyperbolic |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0435-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.A. Generalities""; ""1.B. Compact cores, ends of hyperbolic 3-manifolds""; ""1.C. Geodesic and measured laminations""; ""1.D. Masur domain""; ""1.E. Pleated surfaces""; ""1.F. Train tracks""; ""1.G. Algebraic and geometric convergence""; ""Chapter 2. Statements of theorems""; ""Chapter 3. Characteristic compression bodies""; ""Chapter 4. The Masur domain and Ahlfors' conjecture""; ""4.A. The main result in this chapter""
""4.B. Realization by pleated surfaces for measured laminations on the exterior boundaries of compression bodies""""4.C. Approximation by train tracks""; ""4.D. Realization by pleated surfaces""; ""4.E. A product neighbourhood of the end""; ""Chapter 5. Branched covers and geometric limit""; ""Chapter 6. Non-realizable measured laminations""; ""Chapter 7. Strong convergence of function groups""; ""Chapter 8. Proof of the main theorem""; ""8.A. A special case""; ""8.B. The existence of a homeomorphism""; ""8.C. Lemmata for the proof of Lemma 8.2"" ""8.D. Proof of Lemma 8.2 and Proposition 8.1""""8.E. Concluding the proof of Theorem 2.1""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""E""; ""G""; ""I""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910480525403321 |
|
Ōshika Kenʼichi <1961->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika
| Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika |
| Autore | Ōshika Kenʼichi <1961-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina |
510 s
514/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kleinian groups
Low-dimensional topology Geometry, Hyperbolic |
| ISBN | 1-4704-0435-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.A. Generalities""; ""1.B. Compact cores, ends of hyperbolic 3-manifolds""; ""1.C. Geodesic and measured laminations""; ""1.D. Masur domain""; ""1.E. Pleated surfaces""; ""1.F. Train tracks""; ""1.G. Algebraic and geometric convergence""; ""Chapter 2. Statements of theorems""; ""Chapter 3. Characteristic compression bodies""; ""Chapter 4. The Masur domain and Ahlfors' conjecture""; ""4.A. The main result in this chapter""
""4.B. Realization by pleated surfaces for measured laminations on the exterior boundaries of compression bodies""""4.C. Approximation by train tracks""; ""4.D. Realization by pleated surfaces""; ""4.E. A product neighbourhood of the end""; ""Chapter 5. Branched covers and geometric limit""; ""Chapter 6. Non-realizable measured laminations""; ""Chapter 7. Strong convergence of function groups""; ""Chapter 8. Proof of the main theorem""; ""8.A. A special case""; ""8.B. The existence of a homeomorphism""; ""8.C. Lemmata for the proof of Lemma 8.2"" ""8.D. Proof of Lemma 8.2 and Proposition 8.1""""8.E. Concluding the proof of Theorem 2.1""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""E""; ""G""; ""I""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910788749703321 |
|
Ōshika Kenʼichi <1961->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika
| Kleinian groups which are limits of geometrically finile groups / / Ken© ichi Ohshika |
| Autore | Ōshika Kenʼichi <1961-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2005 |
| Descrizione fisica | 1 online resource (136 p.) |
| Disciplina |
510 s
514/.22 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Kleinian groups
Low-dimensional topology Geometry, Hyperbolic |
| ISBN | 1-4704-0435-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.A. Generalities""; ""1.B. Compact cores, ends of hyperbolic 3-manifolds""; ""1.C. Geodesic and measured laminations""; ""1.D. Masur domain""; ""1.E. Pleated surfaces""; ""1.F. Train tracks""; ""1.G. Algebraic and geometric convergence""; ""Chapter 2. Statements of theorems""; ""Chapter 3. Characteristic compression bodies""; ""Chapter 4. The Masur domain and Ahlfors' conjecture""; ""4.A. The main result in this chapter""
""4.B. Realization by pleated surfaces for measured laminations on the exterior boundaries of compression bodies""""4.C. Approximation by train tracks""; ""4.D. Realization by pleated surfaces""; ""4.E. A product neighbourhood of the end""; ""Chapter 5. Branched covers and geometric limit""; ""Chapter 6. Non-realizable measured laminations""; ""Chapter 7. Strong convergence of function groups""; ""Chapter 8. Proof of the main theorem""; ""8.A. A special case""; ""8.B. The existence of a homeomorphism""; ""8.C. Lemmata for the proof of Lemma 8.2"" ""8.D. Proof of Lemma 8.2 and Proposition 8.1""""8.E. Concluding the proof of Theorem 2.1""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""E""; ""G""; ""I""; ""K""; ""L""; ""M""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W"" |
| Record Nr. | UNINA-9910828657203321 |
|
Ōshika Kenʼichi <1961->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Punctured torus groups and 2-bridge knot groups (I) / Hirotaka Akiyoshi ... [et al.]
| Punctured torus groups and 2-bridge knot groups (I) / Hirotaka Akiyoshi ... [et al.] |
| Pubbl/distr/stampa | Berlin : Springer, c2007 |
| Descrizione fisica | xliii, 252 p. : ill. ; 24 cm |
| Disciplina | 515.93 |
| Altri autori (Persone) | Akiyoshi, Hirotakaauthor |
| Collana | Lecture notes in mathematics, 0075-8434 ; 1909 |
| Soggetto topico |
Kleinian groups
Torus (Geometry) Knot theory |
| ISBN | 3540718060 |
| Classificazione |
AMS 57M50
AMS 30F40 AMS 57M25 AMS 20H10 LC QA3.L3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002741129707536 |
| Berlin : Springer, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Punctured torus groups and 2-bridge knot groups (I). / / Hirotaka Akiyoshi
| Punctured torus groups and 2-bridge knot groups (I). / / Hirotaka Akiyoshi |
| Edizione | [1st ed. 2007.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer, , [2007] |
| Descrizione fisica | 1 online resource (xliii, 252 p.) |
| Disciplina | 515.93 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Torus (Geometry)
Knot theory Kleinian groups |
| ISBN |
1-280-86407-9
9786610864072 3-540-71807-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Jorgensen's picture of quasifuchsian punctured torus groups -- Fricke surfaces and PSL(2, ?)-representations -- Labeled representations and associated complexes -- Chain rule and side parameter -- Special examples -- Reformulation of Main Theorem 1.3.5 and outline of the proof -- Openness -- Closedness -- Algebraic roots and geometric roots. |
| Record Nr. | UNINA-9910483905303321 |
| Berlin, Germany ; ; New York, New York : , : Springer, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Punctured torus groups and 2-bridge knot groups (I). / / Hirotaka Akiyoshi
| Punctured torus groups and 2-bridge knot groups (I). / / Hirotaka Akiyoshi |
| Edizione | [1st ed. 2007.] |
| Pubbl/distr/stampa | Berlin, Germany ; ; New York, New York : , : Springer, , [2007] |
| Descrizione fisica | 1 online resource (xliii, 252 p.) |
| Disciplina | 515.93 |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Torus (Geometry)
Knot theory Kleinian groups |
| ISBN |
1-280-86407-9
9786610864072 3-540-71807-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Jorgensen's picture of quasifuchsian punctured torus groups -- Fricke surfaces and PSL(2, ?)-representations -- Labeled representations and associated complexes -- Chain rule and side parameter -- Special examples -- Reformulation of Main Theorem 1.3.5 and outline of the proof -- Openness -- Closedness -- Algebraic roots and geometric roots. |
| Record Nr. | UNISA-996466610003316 |
| Berlin, Germany ; ; New York, New York : , : Springer, , [2007] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
