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most citedA probabilistic approach to the geometry of the \ell_p^n-ball

181 citations

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math.GT2005

Eigenvalues of Products of Unitary Matrices and Lagrangian Involutions

Elisha Falbel, Richard A. Wentworth

This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a punctured sphere with fixed local monodromy. The submanifold is def…

math.GT2005

Topological Quantum Field Theory and the Nielsen-Thurston classification of M(0,4)

Jorgen Ellegaard Andersen, Gregor Masbaum, Kenji Ueno

We show that the Nielsen-Thurston classification of mapping classes of the sphere with four marked points is determined by the quantum SU(n)-representations, for any fixed integer…

math.GT2003

On Kontsevich integral of torus knots

Julien Marche

We study the unwheeled rational Kontsevich integral of torus knots. We give a precise formula for these invariants up to loop degree 3 and show that they appear as colorings of sim…