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

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Bibliographic Details
Main Authors: Benson, D. J. (David J.), 1955- (Author), Cohen, Frederick R. (Frederick Ronald), 1945- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 1991.
Series:Memoirs of the American Mathematical Society ; no. 443.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Benson, D. J.  |q (David J.),  |d 1955-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjxmpGdK88yyHVGmkpqG73 
245 1 0 |a Mapping class groups of low genus and their cohomology /  |c D.J. Benson, F.R. Cohen. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 1991. 
264 4 |c ©1991 
300 |a 1 online resource (113 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v Number 443 
500 |a "March 1991, Volume 90, Number 443 (end of volume)." 
504 |a Includes bibliographical references at the end of each chapters. 
588 0 |a Print version record. 
505 0 |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 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"" 
505 8 |a ""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)]"" 
505 8 |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)/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)]"" 
546 |a English. 
650 0 |a Low-dimensional topology. 
650 0 |a Complexes. 
650 0 |a Mappings (Mathematics) 
650 0 |a Homology theory. 
650 7 |a Complexes  |2 fast 
650 7 |a Homology theory  |2 fast 
650 7 |a Low-dimensional topology  |2 fast 
650 7 |a Mappings (Mathematics)  |2 fast 
700 1 |a Cohen, Frederick R.  |q (Frederick Ronald),  |d 1945-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjxyhVH9bP9jBXgyjH7Vwd 
758 |i has work:  |a Mapping class groups of low genus and the cohomology (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCFttBGMGRB8xmRmjMmvYCP  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Benson, D.J. (David J.) 1955-  |t Mapping class groups of low genus and their cohomology.  |d Providence, Rhode Island : American Mathematical Society, ©1991  |h iv, 104 pages  |k Memoirs of the American Mathematical Society ; Number 443  |x 0065-9266  |z 9780821825068 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 443. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3113985  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD