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Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
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->  
Princeton, : Princeton University Press, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Spaces of PL manifolds and categories of simple maps [[electronic resource] /] / Friedhelm Waldhausen, Bjørn Jahren and John Rognes
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->  
Princeton, : Princeton University Press, 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The structure of the rational concordance group of knots / / Jae Choon Cha
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->  
Providence, Rhode Island : , : American Mathematical Society, , 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The structure of the rational concordance group of knots / / Jae Choon Cha
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
The structure of the rational concordance group of knots / / Jae Choon Cha
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->  
Providence, Rhode Island : , : American Mathematical Society, , 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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
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
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui