Finite domination and Novikov rings: Laurent polynomial rings in two variables
Data(s) |
01/05/2014
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Resumo |
Let C be a bounded cochain complex of finitely generatedfree modules over the Laurent polynomial ring L = R[x, x−1, y, y−1].The complex C is called R-finitely dominated if it is homotopy equivalentover R to a bounded complex of finitely generated projective Rmodules.Our main result characterises R-finitely dominated complexesin terms of Novikov cohomology: C is R-finitely dominated if andonly if eight complexes derived from C are acyclic; these complexes areC ⊗L R[[x, y]][(xy)−1] and C ⊗L R[x, x−1][[y]][y−1], and their variants obtainedby swapping x and y, and replacing either indeterminate by its inverse. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/openAccess |
Fonte |
Huttemann , T & Quinn , D 2014 , ' Finite domination and Novikov rings: Laurent polynomial rings in two variables ' Journal of Algebra and its Applications , vol 14 , no. 4 , 1550055 . DOI: 10.1142/S0219498815500553 |
Tipo |
article |