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5 papers · 2 filters
Small genus knots in lens spaces have small bridge number
Kenneth L Baker
In a lens space X of order r a knot K representing an element of the fundamental group pi_1 X = Z/rZ of order s <= r contains a connected orientable surface S properly embedded in…
Lectures on Contact Geometry in Low-Dimensional Topology
John B. Etnyre
This article sketches various ideas in contact geometry that have become useful in low-dimensional topology. Specifically we (1) outline the proof of Eliashberg and Thurston's resu…
Multivariable link invariants arising from Lie superalgebras of type I
Nathan Geer, Bertrand Patureau-Mirand
This paper generalize [7](math.GT/0601291): We construct new links invariants from g, a type I basic classical Lie superalgebra. The construction uses the existence of an unexpecte…
Strong Integrality of Quantum Invariants of 3-manifolds
Thang T. Q. Le
We prove that the quantum SO(3)-invariant of an arbitrary 3-manifold is always an algebraic integer, if the order of the quantum parameter is co-prime with the order of the tor…
Is the Jones polynomial of a knot really a polynomial?
Stavros Garoufalidis, Thang T. Q. Le
The Jones polynomial of a knot in 3-space is a Laurent polynomial in , with integer coefficients. Many people have pondered why is this so, and what is a proper generalization o…