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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
| Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen |
| Autore | Madsen Ib |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (296 pages) : illustrations |
| Disciplina | 514/.223 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Manifolds (Mathematics)
Classifying spaces Surgery (Topology) Cobordism theory |
| Soggetto non controllato |
Bijection
Calculation Characteristic class Classification theorem Classifying space Closed manifold Cobordism Coefficient Cohomology Commutative diagram Commutative property Complex projective space Connected sum Corollary Cup product Diagram (category theory) Differentiable manifold Disjoint union Disk (mathematics) Effective method Eilenberg–Moore spectral sequence Elaboration Equivalence class Exact sequence Exterior algebra Fiber bundle Fibration Function composition H-space Homeomorphism Homomorphism Homotopy fiber Homotopy group Homotopy Hopf algebra Iterative method Loop space Manifold Massey product N-sphere Normal bundle Obstruction theory Pairing Permutation Piecewise linear manifold Piecewise linear Polynomial Prime number Projective space Sequence Simply connected space Special case Spin structure Steenrod algebra Subset Summation Tensor product Theorem Topological group Topological manifold Topology Total order |
| ISBN | 1-4008-8147-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter |
| Record Nr. | UNINA-9910154749003321 |
Madsen Ib
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Donaldson type invariants for algebraic surfaces : transition of moduli stacks / Takuro Mochizuki
| Donaldson type invariants for algebraic surfaces : transition of moduli stacks / Takuro Mochizuki |
| Autore | Mochizuki, Takuro |
| Pubbl/distr/stampa | Berlin, : Springer, 2009 |
| Descrizione fisica | XXIII, 383 p. ; 24 cm |
| Soggetto topico |
14J60 - Vector bundles on surfaces and higher-dimensional varieties, and their moduli [MSC 2020]
14J80 - Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) [MSC 2020] 14D20 - Algebraic moduli problems, moduli of vector bundles [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic surfaces Excel Invariant Invariant theory Obstruction theory Semistable sheaves Sheaves Smooth function Transition of moduli stacks |
| ISBN | 978-35-409-3912-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0071101 |
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Mochizuki, Takuro
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| Berlin, : Springer, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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On Knots. (AM-115), Volume 115 / / Louis H. Kauffman
| On Knots. (AM-115), Volume 115 / / Louis H. Kauffman |
| Autore | Kauffman Louis H. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (497 pages) : illustrations |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Knot theory |
| Soggetto non controllato |
3-sphere
Addition theorem Addition Alexander polynomial Algebraic variety Algorithm Ambient isotopy Arf invariant Basepoint Bijection Bilinear form Borromean rings Bracket polynomial Braid group Branched covering Chiral knot Chromatic polynomial Cobordism Codimension Combination Combinatorics Complex analysis Concentric Conjecture Connected sum Conway polynomial (finite fields) Counting Covering space Cyclic group Dense set Determinant Diagram (category theory) Diffeomorphism Dimension Disjoint union Disk (mathematics) Dual graph Elementary algebra Embedding Enumeration Existential quantification Exotic sphere Fibration Formal power series Fundamental group Geometric topology Geometry and topology Geometry Group action Homotopy Integer Intersection form (4-manifold) Isolated singularity Jones polynomial Knot complement Knot group Knot theory Laws of Form Lens space Linking number Manifold Module (mathematics) Morwen Thistlethwaite Normal bundle Notation Obstruction theory Operator algebra Pairing Parity (mathematics) Partition function (mathematics) Planar graph Point at infinity Polynomial ring Polynomial Quantity Rectangle Reidemeister move Remainder Root of unity Saddle point Seifert surface Singularity theory Slice knot Special case Statistical mechanics Substructure Summation Symmetry Theorem Three-dimensional space (mathematics) Topological space Torus knot Trefoil knot Tubular neighborhood Underpinning Unknot Variable (mathematics) Whitehead link Wild knot Writhe |
| ISBN | 1-4008-8213-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- CONTENTS -- PREFACE -- I. INTRODUCTION -- II. LINKING NUMBERS AND REIDEMEISTER MOVES -- III. THE CONWAY POLYNOMIAL -- IV. EXAMPLE S AND SKEIN THEORY -- V. DETECTING SLICES AND RIBBONS- A FIRST PASS -- VI. MISCELLANY -- VII. SPANNING SURFACES AND THE SEIFERT PAIRING -- VIII. RIBBONS AND SLICES -- IX. THE ALEXANDER POLYNOMIAL AND BRANCHED COVERINGS -- X. THE ALEXANDER POLYNOMIAL AND THE ARF INVARIANT -- XI. FREE DIFFERENTIAL CALCULUS -- XII. CYCLIC BRANCHED COVERINGS -- XIII. SIGNATURE THEOREMS -- XIV. G-SIGNATURE THEOREM FOR FOUR MANIFOLDS -- XV. SIGNATURE OF CYCLIC BRANCHED COVERINGS -- XVI. AN INVARIANT FOR COVERINGS -- XVII. SLICE KNOTS -- XVIII. CALCULATING σr FOR GENERALIZED STEVEDORE'S KNOT -- XIX. SINGULARITIES, KNOTS AND BRIESKORN VARIETIES -- APPENDIX. GENERALIZED POLYNOMIALS AND A STATE MODEL FOR THE JONES POLYNOMIAL -- KNOT TABLES AND THE L-POLYNOMIAL -- REFERENCES |
| Record Nr. | UNINA-9910154751303321 |
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Kauffman Louis H.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur
| Smoothings of Piecewise Linear Manifolds. (AM-80), Volume 80 / / Morris W. Hirsch, Barry Mazur |
| Autore | Hirsch Morris W. |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (149 pages) |
| Disciplina | 514/.224 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico |
Piecewise linear topology
Manifolds (Mathematics) |
| Soggetto non controllato |
Affine transformation
Approximation Associative property Bijection Bundle map Classification theorem Codimension Coefficient Cohomology Commutative property Computation Convex cone Convolution Corollary Counterexample Diffeomorphism Differentiable function Differentiable manifold Differential structure Dimension Direct proof Division by zero Embedding Empty set Equivalence class Equivalence relation Euclidean space Existential quantification Exponential map (Lie theory) Fiber bundle Fibration Functor Grassmannian H-space Homeomorphism Homotopy Integral curve Inverse problem Isomorphism class K0 Linearization Manifold Mathematical induction Milnor conjecture Natural transformation Neighbourhood (mathematics) Normal bundle Obstruction theory Open set Partition of unity Piecewise linear Polyhedron Reflexive relation Regular map (graph theory) Sheaf (mathematics) Smoothing Smoothness Special case Submanifold Tangent bundle Tangent vector Theorem Topological manifold Topological space Topology Transition function Transitive relation Vector bundle Vector field |
| ISBN | 1-4008-8168-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- PREFACE -- REFERENCES -- CONTENTS -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS I: PRODUCTS / Hirsch, Morris W. -- SMOOTHINGS OF PIECEWISE LINEAR MANIFOLDS II: CLASSIFICATION / Hirsch, Morris W. / Mazur, Barry -- BIBLIOGRAPHY -- Backmatter |
| Record Nr. | UNINA-9910154743503321 |
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Hirsch Morris W.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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