article · 1996

A Note On Cohomological Vanishing And The Linear Isoperimetric Inequality

S.M. Gersten

Cited by 0Abstract and details only

Abstract

If G is a finitely presented group, then H 2 (#) (G, A) vanishes for all injective Banach spaces iff the regularized homological area function satisfies the linear isoperimetric inequality. This contrasts with the known result that G is word hyperbolic iff the homological area function satisfies the linear isoperimetric inequality. A closed 3-manifold group G is hyperbolic iff H 2 (#) (G, A) vanishes for all injective Banach spaces A. A vanishing theorem is proved for the fundamental group of a closed Riemannian manifold of negative curvature.

Cite this paper

APA 7

Gersten, S. (1996). A Note On Cohomological Vanishing And The Linear Isoperimetric Inequality.

MLA 9

Gersten, S.M. “A Note On Cohomological Vanishing And The Linear Isoperimetric Inequality.” 1996.

Chicago

Gersten, S.M. 1996. “A Note On Cohomological Vanishing And The Linear Isoperimetric Inequality.”

Harvard

Gersten, S. (1996) ‘A Note On Cohomological Vanishing And The Linear Isoperimetric Inequality’.

BibTeX

@article{gersten1996note,
  title = {{A Note On Cohomological Vanishing And The Linear Isoperimetric Inequality}},
  author = {Gersten, S.M.},
  year = {1996}
}

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