Atlas: Higher dimensional isoperimetric inequalities in hyperboic groups by Igor V. Mineyev

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International Conference on Non-Positive Curvature in Group Theory, Topology, and Geometry
May 28-31, 1998
Vanderbilt University
Nashville, TN, USA

Organizers
B. Hughes, M. Mihalik, E. Prassidis, J. Ratcliffe, K. Ruane, M. Sapir, E. Schechter

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Higher dimensional isoperimetric inequalities in hyperboic groups
by
Igor V. Mineyev
University of Utah

For a finitely presented group G, the following statements are equivalent:

G is hyperbolic,

l_\infty-cohomology of G vanishes for any normed vector space as coefficients and any dimension at least 2,

G satisfies linear isoperimetric inequalities for filling real cycles in EACH positive dimension,

and other statements.

Paper is available at http://www.math.utah.edu/$\sim$mineyev/math/

Date received: April 14, 1998