Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
Autore | Waldhausen Friedhelm <1938-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
Descrizione fisica | 1 online resource (193 p.) |
Disciplina | 514/.22 |
Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
Soggetto non controllato |
CAT Whitehead space
CAT manifold Euclidean neighborhood retract Euclidean polyhedra PL Serre fibration PL Whitehead space PL homeomorphism PL manifold Quillen's Theorem A. Quillen's Theorem B. absolute neighborhood retract algebraic K-theory of spaces algebraic K-theory approximate lifting property cofibration degeneracy operator desingularization finite simplicial set h-cobordism theorem homotopy equivalence homotopy fiber sequence horn manifold space manifold n-manifolds normal subdivision polyhedral realization q-simplex reduced mapping cylinder simple map simplicial set space stabilization map stable parametrized h-cobordism theorem tangent microbundle thickening triangulation weak homotopy equivalence Čech homotopy type |
ISBN |
1-4008-4652-8
1-299-05144-8 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
Record Nr. | UNINA-9910779468903321 |
Waldhausen Friedhelm <1938->
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Princeton, : Princeton University Press, 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes |
Autore | Waldhausen Friedhelm <1938-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2013 |
Descrizione fisica | 1 online resource (193 p.) |
Disciplina | 514/.22 |
Altri autori (Persone) |
JahrenBjørn <1945->
RognesJohn |
Collana |
Annals of Mathematics Studies
Annals of mathematics studies |
Soggetto topico |
Piecewise linear topology
Mappings (Mathematics) |
Soggetto non controllato |
CAT Whitehead space
CAT manifold Euclidean neighborhood retract Euclidean polyhedra PL Serre fibration PL Whitehead space PL homeomorphism PL manifold Quillen's Theorem A. Quillen's Theorem B. absolute neighborhood retract algebraic K-theory of spaces algebraic K-theory approximate lifting property cofibration degeneracy operator desingularization finite simplicial set h-cobordism theorem homotopy equivalence homotopy fiber sequence horn manifold space manifold n-manifolds normal subdivision polyhedral realization q-simplex reduced mapping cylinder simple map simplicial set space stabilization map stable parametrized h-cobordism theorem tangent microbundle thickening triangulation weak homotopy equivalence Čech homotopy type |
ISBN |
1-4008-4652-8
1-299-05144-8 |
Classificazione | SI 830 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- Introduction -- 1. The stable parametrized h-cobordism theorem -- 2. On simple maps -- 3. The non-manifold part -- 4. The manifold part -- Bibliography -- Symbols -- Index |
Record Nr. | UNINA-9910813541203321 |
Waldhausen Friedhelm <1938->
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Princeton, : Princeton University Press, 2013 | ||
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Lo trovi qui: Univ. Federico II | ||
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The structure of the rational concordance group of knots / / Jae Choon Cha |
Autore | Cha Jae Choon <1971-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (114 p.) |
Disciplina | 514/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Low-dimensional topology
Knot theory Concordances (Topology) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0489-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""
""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography"" |
Record Nr. | UNINA-9910481047703321 |
Cha Jae Choon <1971->
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Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
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Lo trovi qui: Univ. Federico II | ||
|
The structure of the rational concordance group of knots / / Jae Choon Cha |
Autore | Cha Jae Choon <1971-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (114 p.) |
Disciplina | 514/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Low-dimensional topology
Knot theory Concordances (Topology) |
ISBN | 1-4704-0489-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""
""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography"" |
Record Nr. | UNINA-9910788745203321 |
Cha Jae Choon <1971->
![]() |
||
Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
The structure of the rational concordance group of knots / / Jae Choon Cha |
Autore | Cha Jae Choon <1971-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2007 |
Descrizione fisica | 1 online resource (114 p.) |
Disciplina | 514/.22 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Low-dimensional topology
Knot theory Concordances (Topology) |
ISBN | 1-4704-0489-3 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgments""; ""Chapter 1. Introduction""; ""1.1. Integral and rational knot concordance""; ""1.2. Main results""; ""Chapter 2. Rational knots and Seifert matrices""; ""2.1. Generalized Seifert surfaces""; ""2.2. Limits of Seifert matrices""; ""Chapter 3. Algebraic structure of G[sub(n)]""; ""3.1. Invariants of Seifert matrices""; ""3.2. Invariants of limits of Seifert matrices""; ""3.3. Computation of e(A)""; ""3.4. Artin reciprocity and norm residue symbols""; ""3.5. Computation of d(A)""; ""Chapter 4. Geometric structure of C[sub(n)]""
""4.1. Realization of rational Seifert matrices""""4.2. Construction of slice disks in rational balls""; ""4.3. Rational and integral concordance""; ""4.4. Subrings of rationals""; ""Chapter 5. Rational knots in dimension three""; ""5.1. Rational (0)- and (0.5)-solvability""; ""5.2. Effect of complexity change""; ""5.3. Realization of Alexander modules by ribbon""; ""5.4. Knots which are not rationally (1.5)-solvable""; ""Bibliography"" |
Record Nr. | UNINA-9910827663903321 |
Cha Jae Choon <1971->
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Providence, Rhode Island : , : American Mathematical Society, , 2007 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Topology and physics [[electronic resource] ] : Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007 / / editors, Kevin Lin, Zhenghan Wang, Weiping Zhang |
Pubbl/distr/stampa | Hackensak, N.J., : World Scientific, c2008 |
Descrizione fisica | 1 online resource (468 p.) |
Disciplina |
514.22
514/.22 |
Altri autori (Persone) |
LinXiao-song <1957-2007.>
LinKevin WangZhenghan ZhangWeiping <1964-> |
Collana | Nankai tracts in mathematics |
Soggetto topico |
Low-dimensional topology
Quantum field theory Algebraic topology Field theory (Physics) |
Soggetto genere / forma | Electronic books. |
ISBN | 981-281-911-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Short Biography of Lin; Mathematics of Lin; Organizing Committees; List of Participants; Program; Welcome Speech of Weiping Zhang; Speech of Boju Jiang; CONTENTS; Part A Invited Contributions; The Modified Calabi-Yau Problems for CR-manifolds J. Cao and S.-C. Chang; 0. Introduction; 1. Bounded solutions to d = on manifolds with negative curvature; 2. The modified Calabi-Yau problems for singular spaces and CR-manifolds; A. Sup-harmonic functions on Alexandrov spaces with nonnegative sectional curvature
B. The generalized Calabi problems for Kahler domains with boundaries C. The Calabi-Escobar type problem for Kahler domains with boundaries; Acknowledgments; References; On Picture (2+1)-TQFTs M. Freedman, C. Nayak, K. Walker and Z. Wang; 1. Introduction; 2. Jones representations; 2.1. Braid statistics; 2.2. Generic Jones representation of the braid groups; 2.3. Unitary Jones representations; 2.4. Uniqueness of Jones-Wenzl projectors; 3. Diagram TQFTs for closed manifolds; 3.1. ""d-isotopy"", local relation, and skein relation; 3.2. Picture classes; 3.3. Skein classes; 3.4. Recoupling theory 3.5. Handles and S-matrix 3.6. Diagram TQFTs for closed manifolds; 3.7. Boundary conditions for picture TQFTs; 3.8. Jones-Kauffman skein spaces; 4. Morita equivalence and cut-paste topology; 4.1. Bimodules over picture category; 4.2. Cutting and paste as Morita equivalence; 4.3. Annualization and quantum double; 5. Temperley-Lieb-Jones categories; 5.1. Annular Markov trace; 5.2. Representation of Temperley-Lieb-Jones categories; 5.3. Rectangular Tempeley-Lieb-Jones categories for low levels; 5.3.1. Level=1, d2 = 1; 5.3.2. Level=2, d2 = 2; 5.3.3. Level=3, d2 = 1 + d or d2 = 1 5.4. Annular Temperley-Lieb-Jones theories for low levels 5.4.1. Level=1, d2 = 1; 5.4.2. Level=2, d2 = 2; 5.4.3. Level=3, d2 = 1 + d or d2 = 1; 5.5. Temperley-Lieb-Jones categories for primitive 4th roots of unity; 5.6. Temperley-Lieb-Jones categories for primitive 2nd root of unity, rodd; 6. The definition of a TQFT; 6.1. Redined labels for TQFTs; 6.2. Anomaly of TQFTs and extended manifolds; 6.3. Axioms for TQFTs; 6.4. More consequences of the axioms; 6.5. Framed link invariants and modular representation; 6.6. Verlinde algebras and Verlinde formulas 7. Diagram and Jones-Kau man TQFTs 7.1. Diagram TQFTs; 7.2. Jones-Kau man TQFTs; 8. WRT and Turaev-Viro SU(2)-TQFTs; 8.1. Flagged TLJ categories; 8.2. Turaev-Viro Unitary TQFTs; 8.3. WRT Unitary TQFTs; 9. Black-White TQFTs; 9.1. Black-white TLJ categories; 9.2. Labels for black-white theories; 9.2.1. Level=2, d2 = 2; 9.2.2. Level=3; 9.3. BW TQFTs; 10. Classification and Unitarity; 10.1. Classification of diagram local relations; 10.2. Unitary TQFTs; 10.3. Classication and unitarity; Appendix A. Topological phases of matter; Ground states manifolds as modular functors Elementary excitations as particles |
Record Nr. | UNINA-9910454773603321 |
Hackensak, N.J., : World Scientific, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
|
Topology and physics [[electronic resource] ] : Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007 / / editors, Kevin Lin, Zhenghan Wang, Weiping Zhang |
Pubbl/distr/stampa | Hackensak, N.J., : World Scientific, c2008 |
Descrizione fisica | 1 online resource (468 p.) |
Disciplina |
514.22
514/.22 |
Altri autori (Persone) |
LinXiao-song <1957-2007.>
LinKevin WangZhenghan ZhangWeiping <1964-> |
Collana | Nankai tracts in mathematics |
Soggetto topico |
Low-dimensional topology
Quantum field theory Algebraic topology Field theory (Physics) |
ISBN | 981-281-911-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Short Biography of Lin; Mathematics of Lin; Organizing Committees; List of Participants; Program; Welcome Speech of Weiping Zhang; Speech of Boju Jiang; CONTENTS; Part A Invited Contributions; The Modified Calabi-Yau Problems for CR-manifolds J. Cao and S.-C. Chang; 0. Introduction; 1. Bounded solutions to d = on manifolds with negative curvature; 2. The modified Calabi-Yau problems for singular spaces and CR-manifolds; A. Sup-harmonic functions on Alexandrov spaces with nonnegative sectional curvature
B. The generalized Calabi problems for Kahler domains with boundaries C. The Calabi-Escobar type problem for Kahler domains with boundaries; Acknowledgments; References; On Picture (2+1)-TQFTs M. Freedman, C. Nayak, K. Walker and Z. Wang; 1. Introduction; 2. Jones representations; 2.1. Braid statistics; 2.2. Generic Jones representation of the braid groups; 2.3. Unitary Jones representations; 2.4. Uniqueness of Jones-Wenzl projectors; 3. Diagram TQFTs for closed manifolds; 3.1. ""d-isotopy"", local relation, and skein relation; 3.2. Picture classes; 3.3. Skein classes; 3.4. Recoupling theory 3.5. Handles and S-matrix 3.6. Diagram TQFTs for closed manifolds; 3.7. Boundary conditions for picture TQFTs; 3.8. Jones-Kauffman skein spaces; 4. Morita equivalence and cut-paste topology; 4.1. Bimodules over picture category; 4.2. Cutting and paste as Morita equivalence; 4.3. Annualization and quantum double; 5. Temperley-Lieb-Jones categories; 5.1. Annular Markov trace; 5.2. Representation of Temperley-Lieb-Jones categories; 5.3. Rectangular Tempeley-Lieb-Jones categories for low levels; 5.3.1. Level=1, d2 = 1; 5.3.2. Level=2, d2 = 2; 5.3.3. Level=3, d2 = 1 + d or d2 = 1 5.4. Annular Temperley-Lieb-Jones theories for low levels 5.4.1. Level=1, d2 = 1; 5.4.2. Level=2, d2 = 2; 5.4.3. Level=3, d2 = 1 + d or d2 = 1; 5.5. Temperley-Lieb-Jones categories for primitive 4th roots of unity; 5.6. Temperley-Lieb-Jones categories for primitive 2nd root of unity, rodd; 6. The definition of a TQFT; 6.1. Redined labels for TQFTs; 6.2. Anomaly of TQFTs and extended manifolds; 6.3. Axioms for TQFTs; 6.4. More consequences of the axioms; 6.5. Framed link invariants and modular representation; 6.6. Verlinde algebras and Verlinde formulas 7. Diagram and Jones-Kau man TQFTs 7.1. Diagram TQFTs; 7.2. Jones-Kau man TQFTs; 8. WRT and Turaev-Viro SU(2)-TQFTs; 8.1. Flagged TLJ categories; 8.2. Turaev-Viro Unitary TQFTs; 8.3. WRT Unitary TQFTs; 9. Black-White TQFTs; 9.1. Black-white TLJ categories; 9.2. Labels for black-white theories; 9.2.1. Level=2, d2 = 2; 9.2.2. Level=3; 9.3. BW TQFTs; 10. Classification and Unitarity; 10.1. Classification of diagram local relations; 10.2. Unitary TQFTs; 10.3. Classication and unitarity; Appendix A. Topological phases of matter; Ground states manifolds as modular functors Elementary excitations as particles |
Record Nr. | UNINA-9910777930903321 |
Hackensak, N.J., : World Scientific, c2008 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Topology and physics [[electronic resource] ] : Proceedings of the Nankai International Conference in Memory of Xiao-Song Lin, Tianjin, China, 27-31 July 2007 / / editors, Kevin Lin, Zhenghan Wang, Weiping Zhang |
Pubbl/distr/stampa | Hackensak, N.J., : World Scientific, c2008 |
Descrizione fisica | 1 online resource (468 p.) |
Disciplina |
514.22
514/.22 |
Altri autori (Persone) |
LinXiao-song <1957-2007.>
LinKevin WangZhenghan ZhangWeiping <1964-> |
Collana | Nankai tracts in mathematics |
Soggetto topico |
Low-dimensional topology
Quantum field theory Algebraic topology Field theory (Physics) |
ISBN | 981-281-911-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; Preface; Short Biography of Lin; Mathematics of Lin; Organizing Committees; List of Participants; Program; Welcome Speech of Weiping Zhang; Speech of Boju Jiang; CONTENTS; Part A Invited Contributions; The Modified Calabi-Yau Problems for CR-manifolds J. Cao and S.-C. Chang; 0. Introduction; 1. Bounded solutions to d = on manifolds with negative curvature; 2. The modified Calabi-Yau problems for singular spaces and CR-manifolds; A. Sup-harmonic functions on Alexandrov spaces with nonnegative sectional curvature
B. The generalized Calabi problems for Kahler domains with boundaries C. The Calabi-Escobar type problem for Kahler domains with boundaries; Acknowledgments; References; On Picture (2+1)-TQFTs M. Freedman, C. Nayak, K. Walker and Z. Wang; 1. Introduction; 2. Jones representations; 2.1. Braid statistics; 2.2. Generic Jones representation of the braid groups; 2.3. Unitary Jones representations; 2.4. Uniqueness of Jones-Wenzl projectors; 3. Diagram TQFTs for closed manifolds; 3.1. ""d-isotopy"", local relation, and skein relation; 3.2. Picture classes; 3.3. Skein classes; 3.4. Recoupling theory 3.5. Handles and S-matrix 3.6. Diagram TQFTs for closed manifolds; 3.7. Boundary conditions for picture TQFTs; 3.8. Jones-Kauffman skein spaces; 4. Morita equivalence and cut-paste topology; 4.1. Bimodules over picture category; 4.2. Cutting and paste as Morita equivalence; 4.3. Annualization and quantum double; 5. Temperley-Lieb-Jones categories; 5.1. Annular Markov trace; 5.2. Representation of Temperley-Lieb-Jones categories; 5.3. Rectangular Tempeley-Lieb-Jones categories for low levels; 5.3.1. Level=1, d2 = 1; 5.3.2. Level=2, d2 = 2; 5.3.3. Level=3, d2 = 1 + d or d2 = 1 5.4. Annular Temperley-Lieb-Jones theories for low levels 5.4.1. Level=1, d2 = 1; 5.4.2. Level=2, d2 = 2; 5.4.3. Level=3, d2 = 1 + d or d2 = 1; 5.5. Temperley-Lieb-Jones categories for primitive 4th roots of unity; 5.6. Temperley-Lieb-Jones categories for primitive 2nd root of unity, rodd; 6. The definition of a TQFT; 6.1. Redined labels for TQFTs; 6.2. Anomaly of TQFTs and extended manifolds; 6.3. Axioms for TQFTs; 6.4. More consequences of the axioms; 6.5. Framed link invariants and modular representation; 6.6. Verlinde algebras and Verlinde formulas 7. Diagram and Jones-Kau man TQFTs 7.1. Diagram TQFTs; 7.2. Jones-Kau man TQFTs; 8. WRT and Turaev-Viro SU(2)-TQFTs; 8.1. Flagged TLJ categories; 8.2. Turaev-Viro Unitary TQFTs; 8.3. WRT Unitary TQFTs; 9. Black-White TQFTs; 9.1. Black-white TLJ categories; 9.2. Labels for black-white theories; 9.2.1. Level=2, d2 = 2; 9.2.2. Level=3; 9.3. BW TQFTs; 10. Classification and Unitarity; 10.1. Classification of diagram local relations; 10.2. Unitary TQFTs; 10.3. Classication and unitarity; Appendix A. Topological phases of matter; Ground states manifolds as modular functors Elementary excitations as particles |
Record Nr. | UNINA-9910822163803321 |
Hackensak, N.J., : World Scientific, c2008 | ||
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Lo trovi qui: Univ. Federico II | ||
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