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- W2950972633 abstract "We construct a counterexample to the Rank versus Genus Conjecture, i.e. a closed orientable hyperbolic 3-manifold with rank of its fundamental group smaller than its Heegaard genus. Moreover, we show that the discrepancy between rank and Heegaard genus can be arbitrarily large for hyperbolic 3-manifolds. We also construct toroidal such examples containing hyperbolic JSJ pieces." @default.
- W2950972633 created "2019-06-27" @default.
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- W2950972633 date "2011-06-30" @default.
- W2950972633 modified "2023-10-16" @default.
- W2950972633 title "Rank and genus of 3-manifolds" @default.
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