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4 papers · 1 filter
On a Basis for the Framed Link Vector Space Spanned by Chord Diagrams
B. Bischof, R. Kogan, D. N. Yetter
In view of the result of Kontsevich, now often called ``the fundamental theorem of Vassiliev theory'', identifying the graded dual of the associated graded vector space to the spac…
The number of smooth 4-manifolds with a fixed complexity
Dave Auckly
One can define the complexity of a smooth 4-manifold as the minimal sum of the number of disks, strands and crossings in a Kirby diagram. Martelli proved that the number of homeomo…
Symplectic Tori in Homotopy E(1)'s
Stefano Vidussi
This short note presents a simple construction of nonisotopic symplectic tori representing the same primitive homology class in the symplectic 4-manifold E(1)_K, obtained by knot s…
Quandles and Monodromy
D. N. Yetter
We show that a variety of monodromy phenomena arising in geometric topology and algebraic geometry are most conveniently described in terms of quandle homomorphisms from a knot qua…