Expand all Collapse all | Results 1 - 6 of 6 |
1. CMB 2010 (vol 53 pp. 706)
Non-Right-Orderable 3-Manifold Groups
We exhibit infinitely many hyperbolic $3$-manifold
groups that are not right-orderable.
Categories:20F60, 57M05, 57M50 |
2. CMB 2003 (vol 46 pp. 310)
Second Order Dehn Functions of Asynchronously Automatic Groups Upper bounds of second order Dehn functions of asynchronously
automatic groups are obtained.
Keywords:second order Dehn function, combing, asynchronously automatic group Categories:20E06, 20F05, 57M05 |
3. CMB 2002 (vol 45 pp. 231)
Erratum:~~The Lehmer Polynomial and Pretzel Links Erratum to {\it The Lehmer Polynomial and Pretzel Links},
Canad. J. Math. {\bf 44}(2001), 440--451.
Keywords:Alexander polynomial, pretzel knot, Mahler measure, Salem number, Coxeter groups Categories:57M05, 57M25, 11R04, 11R27 |
4. CMB 2002 (vol 45 pp. 131)
The Topological Interpretation of the Core Group of a Surface in $S^4$ We give a topological interpretation of the core group invariant of a
surface embedded in $S^4$ \cite{F-R}, \cite{Ro}. We show that the
group is isomorphic to the free product of the fundamental group of
the double branch cover of $S^4$ with the surface as a branched set,
and the infinite cyclic group. We present a generalization for
unoriented surfaces, for other cyclic branched covers, and other
codimension two embeddings of manifolds in spheres.
Categories:57Q45, 57M12, 57M05 |
5. CMB 2001 (vol 44 pp. 440)
The Lehmer Polynomial and Pretzel Links In this paper we find a formula for the Alexander polynomial
$\Delta_{p_1,\dots,p_k} (x)$ of pretzel knots and links with
$(p_1,\dots,p_k, \nega 1)$ twists, where $k$ is odd and
$p_1,\dots,p_k$ are positive integers. The polynomial $\Delta_{2,3,7}
(x)$ is the well-known Lehmer polynomial, which is conjectured to have
the smallest Mahler measure among all monic integer polynomials. We
confirm that $\Delta_{2,3,7} (x)$ has the smallest Mahler measure among
the polynomials arising as $\Delta_{p_1,\dots,p_k} (x)$.
Keywords:Alexander polynomial, pretzel knot, Mahler measure, Salem number, Coxeter groups Categories:57M05, 57M25, 11R04, 11R27 |
6. CMB 1999 (vol 42 pp. 257)
Homotopy of Knots and the Alexander Polynomial Any knot in a 3-dimensional homology sphere is homotopic to a knot
with trivial Alexander polynomial.
Categories:57N10, 57M05, 57M25, 57N65 |