| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910827766103321 |
|
|
Autore |
Benson D. J (David J.), <1955-> |
|
|
Titolo |
Mapping class groups of low genus and their cohomology / / D. J. Benson, F. R. Cohen |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, Rhode Island : , : American Mathematical Society, , 1991 |
|
©1991 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (113 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 443 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Low-dimensional topology |
Complexes |
Mappings (Mathematics) |
Homology theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
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 mod�5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The mod�3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The mod�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)]"" |
|
|
|
|
|
| |