The co-rank conjecture for 3-manifold groups

Abstract

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.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-4.abs.html

References in corpus (1)

• On the Cut Number of a 3-manifold

Cited by in corpus (11)

• Solving 3d Gravity with Virasoro TQFT
• Integral Lattices in TQFT
• Quasi-Kähler groups, 3-manifold groups, and formality
• On the Cut Number of a 3-manifold
• Co-rank and Betti number of a group
• Group trisections and smooth 4-manifolds
• Surface Homeomorphisms That Do Not Extend to Any Handlebody and the Johnson Filtration
• Handlebody Bundles and Polytopes
• Quasi-homomorphisms on mapping class groups vanishing on a handlebody group
• Quotients of mapping class groups from $\text{Out}(F_n)$
• Cut numbers of 3-manifolds