Results 21 to 30 of about 2,120 (58)
Upper bound on lattice stick number of knots [PDF]
, 2012 The lattice stick number $s_L(K)$ of a knot $K$ is defined to be the minimal number of straight line segments required to construct a stick presentation of $K$ in the cubic lattice.
Adams +3 more
core +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 511-519, 1983., 1983 If we consider the set of manifolds that can be obtained by surgery on a fixed knot K, then we have an associated set of numbers corresponding to the Heegaard genus of these manifolds. It is known that there is an upper bound to this set of numbers.
Bradd Evans Clark
wiley +1 more source
The Heegaard genus of manifolds obtained by surgery on links and knots
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 3, Page 583-589, 1980., 1980 Let L ⊂ S3 be a fixed link. It is shown that there exists an upper bound on the Heegaard genus of any manifold obtained by surgery on L. The tunnel number of L, T(L), is defined and used as an upper bound. If K′ is a double of the knot K, it is shown that T(K′) ≤ T(K) + 1.
Bradd Clark
wiley +1 more source
Chern-Simons approach to three-manifold invariants
, 1993 % A new, formal, non-combinatorial approach to invariants of % three-dimensional manifolds of Reshetikhin, Turaev and % Witten in the framework of non-perturbative topological % quantum Chern-Simons theory, corresponding to an arbitrary % compact simple ...
Broda, Boguslaw
core +1 more source
On overtwisted contact surgeries
, 2017 In this note, we obtain a new result concluding when contact (+1/n)-surgery is overtwisted. We give a counterexample to a conjecture by James Conway on overtwistedness of manifolds obtained by contact surgery. We list some problems related to the contact
Onaran, Sinem
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Computational and Mathematical Biophysics, 2014 We investigate the relationship between a discrete version of thickness and its smooth counterpart. These discrete energies are deffned on equilateral polygons with n vertices.
Scholtes Sebastian
doaj +1 more source
, 2002 If a knot K has Seifert matrix V_K and has a prime power cyclic branched cover that is not a homology sphere, then there is an infinite family of non-concordant knots having Seifert matrix V_K.Comment: Shortened version containing the main examples ...
Casson +9 more
core +1 more source
Mp-small summands increase knot width
, 2004 Scharlemann and Schultens have shown that for any pair of knots K_1 and K_2, w(K_1 # K_2) is greater than or equal to max{w(K_1),w(K_2)}. Scharlemann and Thompson have given a scheme for possible examples where equality holds.
Gabai +3 more
core +1 more source
The Connectivity Order of Links [PDF]
, 2008 We associate at each link a connectivity space which describes its splittability properties. Then, the notion of order for finite connectivity spaces results in the definition of a new numerical invariant for links, their connectivity order. A section of
Dugowson, Stéphane
core +1 more source
Essential curves in handlebodies and topological contractions [PDF]
, 2007 If $X$ is a compact set, a {\it topological contraction} is a self-embedding $f$ such that the intersection of the successive images $f^k(X)$, $k>0$, consists of one point.
Grines, Viatcheslav +1 more
core +2 more sources