The co-rank conjecture for 3-manifold groups
classification
🧮 math.GT
math.GR
keywords
co-rankconjecturemanifoldnumberbelowbettiboundedclosed
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In this paper we construct explicit examples of both closed and non-compact finite volume hyperbolic manifolds which provide counterexamples to the conjecture that the co-rank of a 3-manifold group (also known as the cut number) is bounded below by one-third the first Betti number.
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