Results 31 to 40 of about 2,120 (58)
Toroidal Seifert fibered surgeries on alternating knots
We give a complete classification of toroidal Seifert fibered surgeries on alternating knots. Precisely, we show that if an alternating knot admits a toroidal Seifert fibered surgery, then the knot is either the trefoil knot and the surgery slope is zero,
Ichihara, Kazuhiro, Jong, In Dae
core +1 more source
Twisted Alexander Polynomials and Representation Shifts
For any knot, the following are equivalent. (1) The infinite cyclic cover has uncountably many finite covers; (2) there exists a finite-image representation of the knot group for which the twisted Alexander polynomial vanishes; (3) the knot group admits ...
Silver, Daniel S., Williams, Susan G.
core +1 more source
A Note on the Unitarity Property of the Gassner Invariant [PDF]
We give a 3-page description of the Gassner invariant / representation of braids / pure braids, along with a description and a proof of its unitarity property.Comment: Mistake fixed in the accompanying Mathematica notebook (not the paper ...
Bar-Natan, Dror
core +4 more sources
A generalization of Vassiliev's planarity criterion [PDF]
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
Almost positive links are strongly quasipositive. [PDF]
Feller P, Lewark L, Lobb A.
europepmc +1 more source
Khovanov homotopy type, periodic links and localizations. [PDF]
Borodzik M, Politarczyk W, Silvero M.
europepmc +1 more source
HOMOLOGY FOR QUANDLES WITH PARTIAL GROUP OPERATIONS. [PDF]
Carter S, Ishii A, Saito M, Tanaka K.
europepmc +1 more source
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Representation theory of Chern-Simons observables
Duke Mathematical Journal, 1996Volker Schomerus
exaly

