Algebraic Topology
Author: H.V. Hưng Nguyễn
Publisher: Springer
ISBN: 3319694340
Size: 74.76 MB
Format: PDF, Mobi
View: 6344
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Taking an arbitrary module amounts to replace RDer.R;R/ by RDer.A; M/ above
and we only get a quasi-isomorphism of modules again. This proves the first
three claims. For the last claim, the natural map Der.R;M/ ,! RDer.R;M/ induces a
graded vector space map CLPn .R;M/ D SymR Der.R;M/Œ n ,! SymR .RDer.R;M/
Œ n/ Š CPoisn .R;M/ where the right hand side is identified with symmetric
powers of the Harrison cochain complex. More precisely this map is realized as
the canonical ...
Publisher: Springer
ISBN: 3319694340
Size: 74.76 MB
Format: PDF, Mobi
View: 6344
Download Read Online
Taking an arbitrary module amounts to replace RDer.R;R/ by RDer.A; M/ above
and we only get a quasi-isomorphism of modules again. This proves the first
three claims. For the last claim, the natural map Der.R;M/ ,! RDer.R;M/ induces a
graded vector space map CLPn .R;M/ D SymR Der.R;M/Œ n ,! SymR .RDer.R;M/
Œ n/ Š CPoisn .R;M/ where the right hand side is identified with symmetric
powers of the Harrison cochain complex. More precisely this map is realized as
the canonical ...