Geodesic
Rank and genus of 3-manifolds
Li, Tao1
1 Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467
Journal of the American Mathematical Society, Tome 26 (2013) no. 3, pp. 777-829

Voir la notice de l'article provenant de la source American Mathematical Society

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.
DOI : 10.1090/S0894-0347-2013-00767-5

Li, Tao 1

1 Department of Mathematics, Boston College, Chestnut Hill, Massachusetts 02467 
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Li, Tao. Rank and genus of 3-manifolds. Journal of the American Mathematical Society, Tome 26 (2013) no. 3, pp. 777-829. doi: 10.1090/S0894-0347-2013-00767-5

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