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5 papers · 1 filter
Connected-Sum Decompositions of Surfaces with Minimally-Intersecting Filling Pairs
Mark Nieland
Let be a closed surface of genus and let be a filling pair on ; then , where is the (geometric) intersection number. Aoug…
MICC: A tool for computing short distances in the curve complex
Paul Glenn, William W. Menasco, Kayla Morrell +1
The complex of curves of a closed orientable surface of genus is the simplicial complex having its vertices, , are isotopy classes…
The marked length spectrum of a projective manifold or orbifold
Daryl Cooper, Kelly Delp
A strictly convex real projective orbifold is equipped with a natural Finsler metric called the Hilbert metric. In the case that the projective structure is hyperbolic, the Hilbert…
The Classification of Spun Torus Knots
Blake Winter
S. Satoh has defined a construction to obtain a ribbon torus knot given a welded knot. This construction is known to be surjective. We show that it is not injective. Using the inva…
On the Colored Jones Polynomial and the Kashaev invariant
Vu Huynh, Thang T. Q. Le
We express the colored Jones polynomial as the inverse of the quantum determinant of a matrix with entries in the -Weyl algebra of -operators, evaluated at the trivial functi…