Замкнутые 1-Формы В Топологии И Геометрической Теории Групп

Farber, M.; Farber, Michael; Гейган, Росс; Geoghegan, Ross; Шютц, Дирк; Schütz, Dirk

doi:10.4213/rm9345

Uspekhi Mat. Nauk

2010

DOI: 10.4213/rm9345

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Замкнутые 1-Формы В Топологии И Геометрической Теории Групп

M. Farber¹,

Michael Farber²,

Росс Гейган³

et al.

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2015

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Finite domination and Novikov rings: Laurent polynomial rings in two variables

Hüttemann

Quinn

2015

J. Algebra Appl.

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Abstract. Let C be a bounded cochain complex of finitely generated free 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 equivalent over R to a bounded complex of finitely generated projective Rmodules. Our main result characterises R-finitely dominated complexes in terms of Novikov cohomology: C is R-finitely dominated if and only if eight complexes derived from C are acyclic; these complexes are, and their variants obtained by swapping x and y, and replacing either indeterminate by its inverse.

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Finite domination and Novikov rings: Laurent polynomial rings in two variables

Hüttemann

Quinn

2015

J. Algebra Appl.

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Замкнутые 1-Формы В Топологии И Геометрической Теории Групп

Cited by 1 publication

References 27 publications

Finite domination and Novikov rings: Laurent polynomial rings in two variables

Finite domination and Novikov rings: Laurent polynomial rings in two variables

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