Volume and homology of one-cusped hyperbolic 3-manifolds
Abstract
Let M be a complete, finite-volume, orientable hyperbolic manifold having exactly one cusp. If we assume that pi1(M) has no subgroup isomorphic to a genus-2 surface group, and that either (a) H1(M;Zp) has dimension at least 5 for some prime p, or (b) H1(M;Z2) has dimension at least 4, and the subspace of H2(M;Z2) spanned by the image of the cup product has dimension at most 1, then vol M > 5.06 If we assume that H1(M;Z2) has dimension at least 7, and that the compact core of M does not contain a genus-2 closed incompressible surface, then vol M > 5.06.
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.