Results 21 to 30 of about 1,468 (49)
The Kauffman bracket skein module of a twist knot exterior
, 2004 We compute the Kauffman bracket skein module of the complement of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component link, one component of which is a meridian of the knot.
Bullock +4 more
core +3 more sources
A generalization of Vassiliev's planarity criterion [PDF]
, 2012 Motivated by his studies in knot theory V. Vassiliev introduced $X$-graphs as regular 4-valent graph with a structure of pairs of opposite edges at each vertex.
Friesen, Tyler
core
A diagrammatic Alexander invariant of tangles
, 2012 We give a new construction of the one-variable Alexander polynomial of an oriented knot or link, and show that it generalizes to a vector valued invariant of oriented tangles.Comment: 8 ...
Bigelow, Stephen
core +1 more source
Ordering the Reidemeister moves of a classical knot
, 2009 We show that any two diagrams of the same knot or link are connected by a sequence of Reidemeister moves which are sorted by type.Comment: This is the version published by Algebraic & Geometric Topology on 18 May ...
Alexander Coward, Reidemeister, Trace
core +1 more source
Connect sum and transversely non simple knots
, 2008 We prove that transversal non-simplicity is preserved under taking connect sum, generalizing Vertesi's result.Comment: Following the referee, exposition is changed and misprints are ...
Birman, Epstein, KEIKO KAWAMURO
core +2 more sources
Boundary slopes (nearly) bound cyclic slopes
, 2004 Let r_m and r_M be the least and greatest finite boundary slopes of a hyperbolic knot K in S^3. We show that any cyclic surgery slopes of K must lie in the interval (r_m - 1/2, r_M + 1/2).Comment: Published by Algebraic and Geometric Topology at http://
Ishikawa, Mattman, Thomas W Mattman
core +2 more sources
Orientable closed 3-manifolds with surface-complexity one
, 2010 After a short summary of known results on surface-complexity of closed 3-manifolds, we will classify all closed orientable 3-manifolds with surface-complexity one.Comment: 9 pages, 3 figures, 1 table; minor changes: appendix on a theorem stated in ...
Amendola, Gennaro
core
Surgery formulae for the Seiberg-Witten invariant of plumbed 3-manifolds. [PDF]
Rev Mat Complut, 2020 László T, Nagy J, Némethi A.
europepmc +1 more source
HOMOLOGY FOR QUANDLES WITH PARTIAL GROUP OPERATIONS. [PDF]
Pac J Math, 2017 Carter S, Ishii A, Saito M, Tanaka K.
europepmc +1 more source
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