L-cohomology and metabolicity of negatively curved complexes

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Abstract

We prove the analog of de Rham's theorem for l-cohomology of the universal cover of a finite simplicial complex. A sufficient criterion is given for linearity of isoperimetric functions for filling cycles of any positive dimension over ℝ. This implies the linear higher dimensional isoperimetric inequalities for the fundamental groups of finite negatively curved complexes and of closed negatively curved manifolds. Also, these groups are ℝ-metabolic.

Original languageEnglish (US)
Pages (from-to)51-77
Number of pages27
JournalInternational Journal of Algebra and Computation
Volume9
Issue number1
StatePublished - Feb 1 1999
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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