Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki |
Autore | Mochizuki Takuro <1972-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (262 p.) |
Disciplina | 514.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0474-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((λ[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t,u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((λ[sub(0)]))] and the weight filtration""
""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" ""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" ""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" ""24.1. Around smooth points of divisors"" |
Record Nr. | UNINA-9910480643203321 |
Mochizuki Takuro <1972-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki |
Autore | Mochizuki Takuro <1972-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (262 p.) |
Disciplina | 514.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
ISBN | 1-4704-0474-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((λ[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t,u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((λ[sub(0)]))] and the weight filtration""
""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" ""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" ""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" ""24.1. Around smooth points of divisors"" |
Record Nr. | UNINA-9910788743303321 |
Mochizuki Takuro <1972-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki |
Autore | Mochizuki Takuro <1972-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (344 p.) |
Disciplina | 514.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
ISBN | 1-4704-0473-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgement""; ""Chapter 1. Introduction""; ""1.1. Simpson's Meta-Theorem""; ""1.2. The purposes in this paper""; ""1.3. On the purpose (1)""; ""1.4. On the purpose (2)""; ""1.5. Some Remark""; ""1.6. The outline of the paper""; ""Part 1. Preliminary""; ""Chapter 2. Preliminary""; ""2.1. Notation""; ""2.2. Prolongation by an increasing order""; ""2.3. Preliminary for Î?c-equivariant bundle""; ""2.4. Some elementary preliminary for convexity""; ""2.5. Some lemmas for functions on a disc""; ""2.6. An elementary remark on some distributions""
""2.7. Preliminary from elementary linear algebra""""2.8. Preliminary from complex differential geometry""; ""2.9. Preliminary from functional analysis""; ""2.10. An estimate of the norms of Higgs field and the conjugate""; ""2.11. Convergency of the sequence of harmonic bundles""; ""2.12. Higgs field and twisted map""; ""Chapter 3. Preliminary for Mixed Twistor Structure""; ""3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]""; ""3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]""; ""3.3. Tate objects and O(p,q)""; ""3.4. Equivalence of some categories"" ""3.5. Variation of P[sup(1)]-holomorphic bundles""""3.6. The twistor nilpotent orbit""; ""3.7. Split polarized mixed twistor structure and the nilpotent orbit""; ""3.8. The induced tuple on the divisor""; ""3.9. Translation of some results due to Kashiwara, Kawai and Saito""; ""3.10. R-triple in dimension 0 and twistor structure""; ""Chapter 4. Preliminary for Filtrations""; ""4.1. Filtrations and decompositions on a vector space""; ""4.2. Filtrations and decompositions on a vector bundle""; ""4.3. Compatibility of the filtrations and nilpotent maps""; ""4.4. Extension of splittings"" ""4.5. Compatibility of the filtrations and nilpotent maps on the divisors""""Chapter 5. Some Lemmas for Generically Splitted Case""; ""5.1. Filtrations""; ""5.2. Compatibility of morphisms and filtrations""; ""Chapter 6. Model Bundles""; ""6.1. Basic example I""; ""6.2. Basic example II""; ""Part 2. Prolongation of Deformed Holomorphic Bundles""; ""Chapter 7. Harmonic Bundles on a Punctured Disc""; ""7.1. Simpson's main estimate""; ""7.2. The KMS-structure of tame harmonic bundles on a punctured disc""; ""7.3. Basic comparison due to Simpson""; ""7.4. Multi-valued flat sections"" |
Record Nr. | UNINA-9910788743603321 |
Mochizuki Takuro <1972-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / / Takuro Mochizuki |
Autore | Mochizuki Takuro <1972-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (262 p.) |
Disciplina | 514.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
ISBN | 1-4704-0474-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((λ[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t,u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t,u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((λ[sub(0)]))] and the weight filtration""
""17.3. Strict specializability along Z[sub(i)] = 0""""17.4. Strict S-decomposability along Z[sub(i)] = 0""; ""Chapter 18. The Sesqui-linear Pairings""; ""18.1. The sesqui-linear pairing on C""; ""18.2. The sesqui-linear pairing on the induced flat bundles""; ""18.3. Preliminary for the calculation of the specialization""; ""18.4. The specialization of the pairings""; ""Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles""; ""19.1. Correspondence""; ""19.2. The tameness of the corresponding harmonic bundle""; ""19.3. The existence of the prolongment"" ""19.4. The uniqueness of the prolongment""""19.5. The pure imaginary case""; ""19.6. The conjectures of Kashiwara and Sabbah""; ""Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix)""; ""20.1. Pure twistor D-module and tame harmonic bundle""; ""20.2. Twistor property for push-forward""; ""Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric""; ""Chapter 21. Preliminary""; ""21.1. Miscellaneous""; ""21.2. Elementary geometry of GL(r)/U(r)""; ""21.3. Maps associated to commuting tuple of endomorphisms"" ""21.4. Preliminary for harmonic maps and harmonic bundles""""Chapter 22. Tame Pure Imaginary Harmonic Bundle""; ""22.1. Definition""; ""22.2. Tame pure imaginary harmonic bundle on a punctured disc""; ""22.3. Semisimplicity""; ""22.4. The maximum principle""; ""22.5. The uniqueness of tame pure imaginary pluri-harmonic metric""; ""Chapter 23. The Dirichlet Problem in the Punctured Disc Case""; ""23.1. The Dirichlet problem for a sequence of the boundary values""; ""23.2. Family version""; ""Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface"" ""24.1. Around smooth points of divisors"" |
Record Nr. | UNINA-9910819099103321 |
Mochizuki Takuro <1972-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules . Part 1 / / Takuro Mochizuki |
Autore | Mochizuki Takuro <1972-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2007] |
Descrizione fisica | 1 online resource (344 p.) |
Disciplina | 514.74 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Hodge theory
D-modules Vector bundles Harmonic maps |
ISBN | 1-4704-0473-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgement""; ""Chapter 1. Introduction""; ""1.1. Simpson's Meta-Theorem""; ""1.2. The purposes in this paper""; ""1.3. On the purpose (1)""; ""1.4. On the purpose (2)""; ""1.5. Some Remark""; ""1.6. The outline of the paper""; ""Part 1. Preliminary""; ""Chapter 2. Preliminary""; ""2.1. Notation""; ""2.2. Prolongation by an increasing order""; ""2.3. Preliminary for Î?c-equivariant bundle""; ""2.4. Some elementary preliminary for convexity""; ""2.5. Some lemmas for functions on a disc""; ""2.6. An elementary remark on some distributions""
""2.7. Preliminary from elementary linear algebra""""2.8. Preliminary from complex differential geometry""; ""2.9. Preliminary from functional analysis""; ""2.10. An estimate of the norms of Higgs field and the conjugate""; ""2.11. Convergency of the sequence of harmonic bundles""; ""2.12. Higgs field and twisted map""; ""Chapter 3. Preliminary for Mixed Twistor Structure""; ""3.1. P[sup(1)]-holomorphic vector bundle over X x P[sup(1)]""; ""3.2. Equivariant P[sup(1)]-holomorphic bundle over X x P[sup(1)]""; ""3.3. Tate objects and O(p,q)""; ""3.4. Equivalence of some categories"" ""3.5. Variation of P[sup(1)]-holomorphic bundles""""3.6. The twistor nilpotent orbit""; ""3.7. Split polarized mixed twistor structure and the nilpotent orbit""; ""3.8. The induced tuple on the divisor""; ""3.9. Translation of some results due to Kashiwara, Kawai and Saito""; ""3.10. R-triple in dimension 0 and twistor structure""; ""Chapter 4. Preliminary for Filtrations""; ""4.1. Filtrations and decompositions on a vector space""; ""4.2. Filtrations and decompositions on a vector bundle""; ""4.3. Compatibility of the filtrations and nilpotent maps""; ""4.4. Extension of splittings"" ""4.5. Compatibility of the filtrations and nilpotent maps on the divisors""""Chapter 5. Some Lemmas for Generically Splitted Case""; ""5.1. Filtrations""; ""5.2. Compatibility of morphisms and filtrations""; ""Chapter 6. Model Bundles""; ""6.1. Basic example I""; ""6.2. Basic example II""; ""Part 2. Prolongation of Deformed Holomorphic Bundles""; ""Chapter 7. Harmonic Bundles on a Punctured Disc""; ""7.1. Simpson's main estimate""; ""7.2. The KMS-structure of tame harmonic bundles on a punctured disc""; ""7.3. Basic comparison due to Simpson""; ""7.4. Multi-valued flat sections"" |
Record Nr. | UNINA-9910812437703321 |
Mochizuki Takuro <1972-> | ||
Providence, Rhode Island : , : American Mathematical Society, , [2007] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Atiyah-Patodi-Singer index theorem / Richard B. Melrose |
Autore | Melrose, Richard B. |
Pubbl/distr/stampa | Wellesley : A. K. Peters, c1993 |
Descrizione fisica | x, 377 p. : ill. ; 24 cm. |
Disciplina | 514.74 |
Collana | Research notes in mathematics, ISSN 07430337 ; 4 |
Soggetto topico | Atiyah-Singer index theorem |
ISBN | 1568810024 |
Classificazione |
AMS 58J20
QA614.92.M45 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000705279707536 |
Melrose, Richard B. | ||
Wellesley : A. K. Peters, c1993 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
The Atiyah-Singer index theorem : an introduction / / Patrick Shanahan |
Autore | Shanahan Patrick <1931-> |
Edizione | [1st ed. 1978.] |
Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1978] |
Descrizione fisica | 1 online resource (VIII, 228 p.) |
Disciplina | 514.74 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Index theorems
Differential operators |
ISBN | 3-540-35921-4 |
Classificazione | 58G10 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Statement of the theorem -- Applications of the index theorem -- Outline of the proof -- The atiyah-singer fixed point theorem -- Applications of the fixed point theorem. |
Record Nr. | UNISA-996466536003316 |
Shanahan Patrick <1931-> | ||
Berlin ; ; Heidelberg : , : Springer-Verlag, , [1978] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
The Atiyah-Singer index theorem : an introduction / Patrick Shanahan |
Autore | Shanahan, Patrick |
Pubbl/distr/stampa | Berlin ; Heidelberg ; New York : Springer-Verlag, 1978 |
Descrizione fisica | iv, 224 p. : ill. ; 25 cm. |
Disciplina | 514.74 |
Collana | Lecture notes in mathematics, 0075-8434 ; 638 |
Soggetto topico |
Atiyah-Singer index theorem
Fixed point theory |
ISBN | 3540086609 |
Classificazione | AMS 58G10 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000705349707536 |
Shanahan, Patrick | ||
Berlin ; Heidelberg ; New York : Springer-Verlag, 1978 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Attractors for infinite-dimensional non-autonomous dynamical systems [[electronic resource] /] / by Alexandre Carvalho, José A. Langa, James Robinson |
Autore | Carvalho Alexandre |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (433 p.) |
Disciplina | 514.74 |
Collana | Applied Mathematical Sciences |
Soggetto topico |
Partial differential equations
Dynamics Ergodic theory Manifolds (Mathematics) Complex manifolds Partial Differential Equations Dynamical Systems and Ergodic Theory Manifolds and Cell Complexes (incl. Diff.Topology) |
Soggetto non controllato |
Mathematics
Differentiable dynamical systems Differential equations, partial Cell aggregation -- Mathematics Partial Differential Equations Dynamical Systems and Ergodic Theory Manifolds and Cell Complexes (incl. Diff. Topology) |
ISBN | 1-4614-4581-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | The pullback attractor -- Existence results for pullback attractors -- Continuity of attractors -- Finite-dimensional attractors -- Gradient semigroups and their dynamical properties -- Semilinear Differential Equations -- Exponential dichotomies -- Hyperbolic solutions and their stable and unstable manifolds -- A non-autonomous competitive Lotka-Volterra system -- Delay differential equations.-The Navier–Stokes equations with non-autonomous forcing.- Applications to parabolic problems -- A non-autonomous Chafee–Infante equation -- Perturbation of diffusion and continuity of attractors with rate -- A non-autonomous damped wave equation -- References -- Index.-. |
Record Nr. | UNINA-9910438137303321 |
Carvalho Alexandre | ||
New York, NY : , : Springer New York : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Attractors under discretisation [[electronic resource] /] / by Xiaoying Han, Peter Kloeden |
Autore | Han Xiaoying |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (121 pages) |
Disciplina | 514.74 |
Collana | SpringerBriefs in Mathematics |
Soggetto topico |
Numerical analysis
Dynamics Ergodic theory Differential equations Numerical Analysis Dynamical Systems and Ergodic Theory Ordinary Differential Equations |
ISBN | 3-319-61934-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Part I Dynamical systems and numerical schemes -- 1 Lyapunov stability and dynamical systems -- 2 One step numerical schemes -- Part II Steady states under discretization -- 3 Linear systems -- 4 Lyapunov functions -- 5 Dissipative systems with steady states -- 6 Saddle points under discretisation . Part III Autonomous attractors under discretization -- 7 Dissipative systems with attractors -- 8 Lyapunov functions for attractors -- 9 Discretisation of an attractor. Part IV Nonautonomous limit sets under discretization -- 10 Dissipative nonautonomous systems -- 11 Discretisation of nonautonomous limit sets -- 12 Variable step size -- 13 Discretisation of a uniform pullback attractor -- Notes -- References. |
Record Nr. | UNINA-9910254302003321 |
Han Xiaoying | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|