97 citations
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Showing 2011Show all
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math.GT2011★ 6 cited
Knot state asymptotics I, AJ Conjecture and abelian representations
Laurent Charles, Julien Marche
Consider the Chern-Simons topological quantum field theory with gauge group SU(2) and level k. Given a knot in the 3-sphere, this theory associates to the knot exterior an element…
math.AP2011
Precise Arrhenius law for p-forms: The Witten Laplacian and Morse-Barannikov complex
Dorian Le Peutrec, Francis Nier, Claude Viterbo
Accurate asymptotic expressions are given for the exponentially small eigenvalues of Witten Laplacians acting on p-forms. The key ingredient, which replaces explicit formulas for g…
math.AP2011★ 2 cited
Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones
Frank Pacard, Juncheng Wei
In this paper, we are interested in bounded, entire, solutions of the Allen-Cahn equation which are defined in Euclidean space and whose zero set is asymptotic to a given minimal c…