Double complexes and vanishing of Novikov cohomology
Data(s) |
2011
|
---|---|
Resumo |
We consider non-standard totalisation functors for double complexes, involving left or right truncated products. We show how properties of these imply that the algebraic mapping torus of a self map h of a cochain complex of finitely presented modules has trivial negative Novikov cohomology, and has trivial positive Novikov cohomology provided h is a quasi-isomorphism. As an application we obtain a new and transparent proof that a finitely dominated cochain complex over a Laurent polynomial ring has trivial (positive and negative) Novikov cohomology. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Direitos |
info:eu-repo/semantics/openAccess |
Fonte |
Huettemann , T 2011 , ' Double complexes and vanishing of Novikov cohomology ' Serdica Mathematical Journal , vol 37 (4) , pp. 295-304 . |
Tipo |
article |