科研之友
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摘要
We give new examples of hyperbolic and relatively hyperbolic groups of cohomological dimension d for all d >= 4 (see Theorem 2.13). These examples result from applying CAT(0)/CAT(-1) filling constructions (based on singular doubly warped products) to finite volume hyperbolic manifolds with toral cusps. The groups obtained have a number of interesting properties, which are established by analyzing their boundaries at infinity by a kind of Morse-theoretic technique, related to but distinct from ordinary and combinatorial Morse theory (see Section 5).
- 出版日期2010-6
