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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
| Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff |
| Autore | Milnor John |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (339 pages) : illustrations |
| Disciplina | 514/.7 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Characteristic classes |
| Soggetto non controllato |
Additive group
Axiom Basis (linear algebra) Boundary (topology) Bundle map CW complex Canonical map Cap product Cartesian product Characteristic class Charles Ehresmann Chern class Classifying space Coefficient Cohomology ring Cohomology Compact space Complex dimension Complex manifold Complex vector bundle Complexification Computation Conformal geometry Continuous function Coordinate space Cross product De Rham cohomology Diffeomorphism Differentiable manifold Differential form Differential operator Dimension (vector space) Dimension Direct sum Directional derivative Eilenberg–Steenrod axioms Embedding Equivalence class Euler class Euler number Existence theorem Existential quantification Exterior (topology) Fiber bundle Fundamental class Fundamental group General linear group Grassmannian Gysin sequence Hausdorff space Homeomorphism Homology (mathematics) Homotopy Identity element Integer Interior (topology) Isomorphism class J-homomorphism K-theory Leibniz integral rule Levi-Civita connection Limit of a sequence Linear map Metric space Natural number Natural topology Neighbourhood (mathematics) Normal bundle Open set Orthogonal complement Orthogonal group Orthonormal basis Partition of unity Permutation Polynomial Power series Principal ideal domain Projection (mathematics) Representation ring Riemannian manifold Sequence Singular homology Smoothness Special case Steenrod algebra Stiefel–Whitney class Subgroup Subset Symmetric function Tangent bundle Tensor product Theorem Thom space Topological space Topology Unit disk Unit vector Variable (mathematics) Vector bundle Vector space |
| ISBN | 1-4008-8182-X |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index |
| Record Nr. | UNINA-9910154754803321 |
Milnor John
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / / Murray Gerstenhaber, Jim Stasheff, editors
| Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / / Murray Gerstenhaber, Jim Stasheff, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1992] |
| Descrizione fisica | 1 online resource (388 p.) |
| Disciplina | 530.1/522 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum groups
Perturbation (Mathematics) Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-7725-9
0-8218-5469-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Hopf algebra actions�revisited""; ""Link-diagrams, Yang Baxter equations, and quantum holonomy""; ""Duality and topology of 3-manifolds""; ""Algebras, bialgebras, quantum groups, and algebraic deformations""; ""Generalized Moyal quantization on homogeneous symplectic spaces""; ""A simple construction of bialgebra deformations""; ""Integrable deformations of meromorphic equations on P1 (C)""; ""Quantum groups with two parameters""; ""Quantum group theoretic proof of the addition formula for continuous q-Legendre polynomials""; ""q-special functions, a tutorial""
""q-special functions and their occurrence in quantum groups""""Quantum flag and Schubert schemes""; ""Homological perturbation theory, Hochschild homology, and formal groups""; ""Tannaka-Krein theorem for quasi-Hopf algebras and other results""; ""Simple smash products""; ""Quantum group of links in a handlebody""; ""Quantum Poisson SU (2) and quantum Poisson spheres""; ""Deformation cohomology for bialgebras and quasi-bialgebras""; ""Drinfel'd's quasi-Hopf algebras and beyond""; ""Hopf algebra techniques applied to the quantum group Uq(s/(2))"" ""Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories""""Elementary paradigms of quantum algebras"" |
| Record Nr. | UNINA-9910480004203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / / Murray Gerstenhaber, Jim Stasheff, editors
| Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / / Murray Gerstenhaber, Jim Stasheff, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1992] |
| Descrizione fisica | 1 online resource (388 p.) |
| Disciplina | 530.1/522 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum groups
Perturbation (Mathematics) Mathematical physics |
| ISBN |
0-8218-7725-9
0-8218-5469-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Hopf algebra actions�revisited""; ""Link-diagrams, Yang Baxter equations, and quantum holonomy""; ""Duality and topology of 3-manifolds""; ""Algebras, bialgebras, quantum groups, and algebraic deformations""; ""Generalized Moyal quantization on homogeneous symplectic spaces""; ""A simple construction of bialgebra deformations""; ""Integrable deformations of meromorphic equations on P1 (C)""; ""Quantum groups with two parameters""; ""Quantum group theoretic proof of the addition formula for continuous q-Legendre polynomials""; ""q-special functions, a tutorial""
""q-special functions and their occurrence in quantum groups""""Quantum flag and Schubert schemes""; ""Homological perturbation theory, Hochschild homology, and formal groups""; ""Tannaka-Krein theorem for quasi-Hopf algebras and other results""; ""Simple smash products""; ""Quantum group of links in a handlebody""; ""Quantum Poisson SU (2) and quantum Poisson spheres""; ""Deformation cohomology for bialgebras and quasi-bialgebras""; ""Drinfel'd's quasi-Hopf algebras and beyond""; ""Hopf algebra techniques applied to the quantum group Uq(s/(2))"" ""Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories""""Elementary paradigms of quantum algebras"" |
| Record Nr. | UNINA-9910788640903321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / / Murray Gerstenhaber, Jim Stasheff, editors
| Deformation theory and quantum groups with applications to mathematical physics : proceedings of a AMS-IMS-SIAM 1990 Joint Summer Research Conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation / / Murray Gerstenhaber, Jim Stasheff, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1992] |
| Descrizione fisica | 1 online resource (388 p.) |
| Disciplina | 530.1/522 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Quantum groups
Perturbation (Mathematics) Mathematical physics |
| ISBN |
0-8218-7725-9
0-8218-5469-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Hopf algebra actions�revisited""; ""Link-diagrams, Yang Baxter equations, and quantum holonomy""; ""Duality and topology of 3-manifolds""; ""Algebras, bialgebras, quantum groups, and algebraic deformations""; ""Generalized Moyal quantization on homogeneous symplectic spaces""; ""A simple construction of bialgebra deformations""; ""Integrable deformations of meromorphic equations on P1 (C)""; ""Quantum groups with two parameters""; ""Quantum group theoretic proof of the addition formula for continuous q-Legendre polynomials""; ""q-special functions, a tutorial""
""q-special functions and their occurrence in quantum groups""""Quantum flag and Schubert schemes""; ""Homological perturbation theory, Hochschild homology, and formal groups""; ""Tannaka-Krein theorem for quasi-Hopf algebras and other results""; ""Simple smash products""; ""Quantum group of links in a handlebody""; ""Quantum Poisson SU (2) and quantum Poisson spheres""; ""Deformation cohomology for bialgebras and quasi-bialgebras""; ""Drinfel'd's quasi-Hopf algebras and beyond""; ""Hopf algebra techniques applied to the quantum group Uq(s/(2))"" ""Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories""""Elementary paradigms of quantum algebras"" |
| Record Nr. | UNINA-9910827444103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1992] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff / / John McCleary, editor
| Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff / / John McCleary, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homotopy theory
Topology Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7818-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Invited addresses""; ""Contributed papers""; ""Participants""; ""An appreciation of the work of Jim Stasheff""; ""The cohomology flat product and the Berstein algebra of a co-H-space""; ""Spaces of local vector fields""; ""Operads from the viewpoint of categorical algebra""; ""Double loop spaces, braided monoidal categories and algebraic 3-type of space""; ""Poisson brackets with divergence terms in field theories: Three examples""; ""Grassmanian and elliptic operators""; ""On the deformation of rings and algebras V: Deformation of differential graded algebras""
""On p-minimal homological models of twisted tensor products of elementary complexes localised over a prime""""Stability of the rational homotopy type of moduli spaces"" |
| Record Nr. | UNINA-9910480260603321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff / / John McCleary, editor
| Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff / / John McCleary, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homotopy theory
Topology Mathematical physics |
| ISBN | 0-8218-7818-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Invited addresses -- Contributed papers -- Participants -- An appreciation of the work of Jim Stasheff -- The cohomology flat product and the Berstein algebra of a co-H-space -- Spaces of local vector fields -- Operads from the viewpoint of categorical algebra -- Double loop spaces, braided monoidal categories and algebraic 3-type of space -- Poisson brackets with divergence terms in field theories: Three examples -- Grassmanian and elliptic operators -- On the deformation of rings and algebras V: Deformation of differential graded algebras -- On p-minimal homological models of twisted tensor products of elementary complexes localised over a prime -- Stability of the rational homotopy type of moduli spaces. |
| Record Nr. | UNINA-9910788651103321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff / / John McCleary, editor
| Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff / / John McCleary, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1999] |
| Descrizione fisica | 1 online resource (338 p.) |
| Disciplina | 514/.24 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Homotopy theory
Topology Mathematical physics |
| ISBN | 0-8218-7818-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Contents -- Preface -- Invited addresses -- Contributed papers -- Participants -- An appreciation of the work of Jim Stasheff -- The cohomology flat product and the Berstein algebra of a co-H-space -- Spaces of local vector fields -- Operads from the viewpoint of categorical algebra -- Double loop spaces, braided monoidal categories and algebraic 3-type of space -- Poisson brackets with divergence terms in field theories: Three examples -- Grassmanian and elliptic operators -- On the deformation of rings and algebras V: Deformation of differential graded algebras -- On p-minimal homological models of twisted tensor products of elementary complexes localised over a prime -- Stability of the rational homotopy type of moduli spaces. |
| Record Nr. | UNINA-9910811524003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1999] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors
| Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operads
Ordered algebraic structures Moduli theory Representations of algebras |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-8218-7793-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""
""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories"" ""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index"" |
| Record Nr. | UNINA-9910480259203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors
| Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operads
Ordered algebraic structures Moduli theory Representations of algebras |
| ISBN | 0-8218-7793-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""
""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories"" ""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index"" |
| Record Nr. | UNINA-9910788648703321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors
| Operads : proceedings of renaissance conferences / / Jean-Louis Loday, James D. Stasheff, Alexander A. Voronov, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1997] |
| Descrizione fisica | 1 online resource (458 p.) |
| Disciplina | 512/.2 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Operads
Ordered algebraic structures Moduli theory Representations of algebras |
| ISBN | 0-8218-7793-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Definitions: operads, algebras and modules""; ""The pre-history of operads""; ""Operads, algebras, and modules""; ""Relating the associahedron and the permutohedron""; ""Combinatorial models for real configuration spaces and En-operads""; ""From operads to 'physically' inspired theories""; ""Operades des algebres ( k + 1 )-aires""; ""Coproduct and cogroups in the category of graded dual Leibniz algebras""; ""Cohomology of monoids in monoidal categories""; ""Distributive laws, bialgebras, and cohomology""; ""Deformations of algebras over a quadratic operad""
""Q-rings and the homology of the symmetric groups""""0. Introduction""; ""1. Q-rings and modules""; ""2. The Kudo-Araki algebra K and its dual""; ""3. Free Q-rings""; ""4. The extended Milnor coalgebra A""; ""5. The Nishida relations""; ""6. Q-coalgebras""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""References""; ""Operadic tensor products and smash products""; ""Homotopy Gerstenhaber algebras and topological field theory""; ""Intertwining operator algebras, genus-zero modular functors, and genus-zero conformal field theories"" ""Modular functor and representation theory of sl2 at a rational level""""Quantum generalized cohomology""; ""Non-commutative reciprocity laws associated to finite groups""; ""Index"" |
| Record Nr. | UNINA-9910811523203321 |
| Providence, Rhode Island : , : American Mathematical Society, , [1997] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||