199 citations · 527 across the 27 of their papers we have counts for
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math.GT2007★ 21 cited
Symplectic Jacobi diagrams and the Lie algebra of homology cylinders
Kazuo Habiro, Gwenael Massuyeau
Let S be a compact connected oriented surface, whose boundary is connected or empty. A homology cylinder over the surface S is a cobordism between S and itself, homologically equiv…
math.GT2007★ 29 cited
A functorial LMO invariant for Lagrangian cobordisms
Dorin Cheptea, Kazuo Habiro, Gwenael Massuyeau
Lagrangian cobordisms are three-dimensional compact oriented cobordisms between once-punctured surfaces, subject to some homological conditions. We extend the Le-Murakami-Ohtsuki i…