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Abstract: Let G be a word-hyperbolic group, obtained as a graph of free groupsamalgamated along cyclic subgroups. If H 2G;Q is nonzero, then G contains aclosed hyperbolic surface subgroup. Moreover, the unit ball of theGromov-Thurston norm on H 2G;R is a finite-sided rational polyhedron.



Author: Danny Calegari

Source: https://arxiv.org/







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