Algebraic cobordism and K-theory / / Victor P. Snaith

• Autore: Snaith Victor P (Victor Percy), <1944->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1979]; ©1979
• Descrizione fisica: 1 online resource (163 p.)
• Disciplina: 514/.23
• Soggetto topico: Cobordism theory; K-theory; Homotopy theory
• Note generali: "Volume 21 ... second of 3 numbers."
• Nota di bibliografia: Bibliography: pages 144-149.
• Nota di contenuto: ""Table of Contents""; ""Prologue - global summary of results and motivation""; ""Part I: Cobordism and the stable homotopy of classifying space""; ""Â1: Introduction, statement of results of Part I""; ""Â2: Computations with the transfer""; ""Â3: Factorisations of QBU(l), QB0(2) and QBSp(l)""; ""Â4: Stable decompositions of BU, BSp, BO and BSO""; ""Â5: The first connections of â??[sup(s)][sub(*)](BG) with cobordism""; ""Â6: A computation - application to â??[sup(s)][sub(*)](BG)(BU(n))"" ; ""Â7: The deviation from additivity of the real transfer and of the Becker-Gottlieb solution to the real Adams conjecture""""Â8: Stable decompositions of BGL3F[sub(q)] and B03F[sub(3)]""; ""Part II: A new construction of unitary and symplectic cobordism""; ""Â0: Introduction, statement of results of Part II""; ""Â1: The homology of the stable decomposition of Ω[sup(t)]Σ[sup(t)]BU(1)""; ""Â2: AU° (X), ASp°(X) and their relation with cobordism""; ""Â3: The spectra AU and ASp""; ""Â4: Adams operations in MU- and AU-theory"" ; ""Â0: Introduction, statement of results of Part III""""Â1: The spectrum X(b) - examples including cobordism, K-Theory and algebraic cobordism""; ""Â2: The stable homotopy of BO, some new elements in â??[sup(s)][sub(*)](BO)""; ""Â3: Unoriented cobordism as an X(b)-spectrum""; ""Â4: New elements in â??[sup(s)][sub(*)](ImJ)""; ""Â5: The algebraic cobordism of Z and its epimorphism onto â??[sub(*)](MO)""; ""Part IV: Algebraic cobordism and geometry""; ""Â0: Epilogue, statement of results and the advocation of a cobordismic viewpoint"" ; ""Â1: Algebraic vector bundles over number fields, a remark on a problem of Atiyah""""Â2: An analogue of the Pontrjagin-Thom construction on the etale site, with examples""; ""Â3: Some computations of the p-adic algebraic cobordism of schemes over Spec IF[sub(q)]""; ""Â4: Units, p-adic cobordism of IF[sub(q)] -algebras and their Quillen K-theory""; ""Â5: Twelve problems arising from Parts I - IV""; ""Â6: Bibliography""; ""Â7: Footnotes""
• Titolo autorizzato: Algebraic cobordism and K-theory
• ISBN: 1-4704-0602-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788893303321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 221.