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math.GT2013★ 9 cited
Splitting formulas for the LMO invariant of rational homology three-spheres
Gwenael Massuyeau
For rational homology 3-spheres, there exist two universal finite-type invariants: the Le-Murakami-Ohtsuki invariant and the Kontsevich-Kuperberg-Thurston invariant. These invarian…
math.GT2013★ 3 cited
Brackets in the Pontryagin algebras of manifolds
Gwenael Massuyeau, Vladimir Turaev
Given a smooth oriented manifold with non-empty boundary, we study the Pontryagin algebra where is the space of loops in based at a distinguished point o…