LEADER 03528nam 2200625 450 001 9910788875103321 005 20170821171944.0 010 $a1-4704-0869-4 035 $a(CKB)3360000000464627 035 $a(EBL)3113985 035 $a(SSID)ssj0000889052 035 $a(PQKBManifestationID)11525295 035 $a(PQKBTitleCode)TC0000889052 035 $a(PQKBWorkID)10874647 035 $a(PQKB)11455341 035 $a(MiAaPQ)EBC3113985 035 $a(RPAM)2469790 035 $a(PPN)195413261 035 $a(EXLCZ)993360000000464627 100 $a20140905h19911991 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMapping class groups of low genus and their cohomology /$fD. J. Benson, F. R. Cohen 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1991. 210 4$dİ1991 215 $a1 online resource (113 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 443 300 $a"March 1991, Volume 90, Number 443 (end of volume)." 311 $a0-8218-2506-2 320 $aIncludes bibliographical references at the end of each chapters. 327 $a""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 moda???5 Cohomology of T[sup(0)][sub(2,0)] and T[sup(6)][sub(0,0)]""; ""6 The moda???3 Cohomology of T[sup(0)][sub(2,0)]""; ""7 The moda???2 Cohomology of T[sup(0)][sub(2,0)]; Theorems 1.3 and 1.4""; ""8 H*(I?£[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"" 327 $a""Specht Modules and the Cohomology of Mapping Class Groups""""1 Introduction""; ""2 The modules H[sup(j)(K[sub(n),Z), j a??? 3""; ""3 Modules for A[sub(6)] and I?£[sub(6)] in characteristic two""; ""4 Diagrams for H[sup(j)]; (K[sub(6)],F[sub(2)]) as F[sub(2)]A[sub(6)]a???modules""; ""5 Calculation of H*(I?£[sub(6)]; ,H*(K[sub(6)],F[sub(2)])) a??? 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)]"" 327 $a""8 Calculations in characteristic three""""The mod 2 cohomology of the mapping class group for a surface of genus two""; ""1 Introduction""; ""2 A construction for K(T[sup(n)[sub(0,00], 1); characteristic classes""; ""3 Steenrod operations on H*(F(S[sup(2)],6)/I?£[sub(6)],F[sub(2)]""; ""4 Steenrod operations on H*(T[sup(6)][sub(0,0)],F[sub(2)]""; ""5 The spectral sequence for T[sup(0)][sub(2,0)]"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 443. 606 $aLow-dimensional topology 606 $aComplexes 606 $aMappings (Mathematics) 606 $aHomology theory 615 0$aLow-dimensional topology. 615 0$aComplexes. 615 0$aMappings (Mathematics) 615 0$aHomology theory. 676 $a514 700 $aBenson$b D. J$g(David J.),$f1955-$054407 702 $aCohen$b Frederick R$g(Frederick Ronald),$f1945- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788875103321 996 $aMapping class groups of low genus and their cohomology$93705621 997 $aUNINA