8 citations · 8 across the 2 of their papers we have counts for
8 papers · 1 filter
On standard forms of 1--dominations between knots with same Gromov volumes
Michel Boileau, Yi Ni, Shicheng Wang
Let and be two knots in 3-sphere. Say 1--dominates , if there is a proper degree 1 map $f\co E(k)\to E(k')$, between knot exterior of . Theorem: Suppose that…
Weak collapsing and geometrisation of aspherical 3-manifolds
Laurent Bessières, Gérard Besson, Michel Boileau +2
Let M be a closed, orientable, irreducible, non-simply connected 3-manifold. We prove that if M admits a sequence of Riemannian metrics whose sectional curvature is locally control…
On character varieties, sets of discrete characters, and non-zero degree maps
Michel Boileau, Steven Boyer
In this paper we use character variety methods to study homomorphisms between the fundamental groups of 3-manifolds, in particular those induced by non-zero degree maps. A {\it kno…
Pseudo-Anosov extensions and degree one maps between hyperbolic surface bundles
Michel Boileau, Yi Ni, Shicheng Wang
Let be any two closed orientable surfaces of genus , and be any pseudo-Anosov map. Then we can "extend" to be a pseudo-Anosov map so…
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
The structure of 3-manifolds with 2-generated fundamental group
Michel Boileau, Richard Weidmann
We prove a structure theorem for 3-manifolds with non-trivial JSJ-decomposition and 2-generated fundamental group. We deduce a variety of Corollaries. Note this is not a complete c…