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math.GT2009★ 1 cited
Volume and topology of bounded and closed hyperbolic 3-manifolds
Jason DeBlois, Peter B. Shalen
Let N be a compact, orientable hyperbolic 3-manifold with connected, totally geodesic boundary of genus 2. If N has Heegaard genus at least 5, then its volume is greater than 6.89.…
math.GT2008★ 1 cited
Incompressible surfaces, hyperbolic volume, Heegaard genus and homology
Marc Culler, Jason DeBlois, Peter B. Shalen
We show that if M is a complete, finite-volume, hyperbolic 3-manifold having exactly one cusp, and if H_1(M;Z_2) has dimension at least 6, then M has volume greater than 5.06. We a…
math.GT2008
On the doubled tetrus
Jason DeBlois
The tetrus is a sort of big brother to the tripus, W.P. Thurston's example of a compact hyperbolic 3-manifold with totally geodesic boundary. We describe a sixfold cover of the dou…