Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen

• Autore: Benson D. J (David J.), <1955->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , 1991; ©1991
• Descrizione fisica: 1 online resource (113 p.)
• Disciplina: 514
• Soggetto topico: Low-dimensional topology; Complexes; Mappings (Mathematics); Homology theory
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): CohenFrederick R <1945-> (Frederick Ronald)
• Note generali: "March 1991, Volume 90, Number 443 (end of volume)."
• Nota di bibliografia: Includes bibliographical references at the end of each chapters.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Artin's Braid Group and the Homology of Certain Subgroups of the Mapping Class Group""; ""1 Statement of Results""; ""2 Presentations""; ""3 H*(K[sub(n)]; Z)""; ""4 Proof of Theorem 1.1""; ""5 The modâ€?5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The modâ€?3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The modâ€?2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H*(Σ[sub(6)]; H*(K[sub(6)]; F[sub(5)])); Theorem 5.3""; ""9 Theorem 1.6""; ""10 Facts about B[sub(n)] and Lemmas 3.2 and 3.3"" ; ""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j â?? 3""; ""3 Modules for A[sub(6)] and Σ[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]â€?modules""; ""5 Calculation of H*(Σ[sub(6)]; ,H*(K[sub(6)],F[sub(2)])) â?? H*(T[sup(6)][sub(0,0)],F[sub(2)])""; ""6 Finite subgroups of T[sup(6)][sub(0,0)] and T[sup(0)][sub(2,0)]""; ""7 Calculation of the spectral sequences for H*(T[sup(6)][sub(0,0,)], F[sub(2)] and H*(T[sup(0)][sub(2,0,)], F[sub(2)]"" ; ""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H*(F(S[sup(2)],6)/Σ[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H*(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]""
• Titolo autorizzato: Mapping class groups of low genus and their cohomology
• ISBN: 1-4704-0869-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480715603321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Number 443.