29 citations · 109 across the 27 of their papers we have counts for
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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…
Lefschetz fibrations, intersection numbers, and representations of the framed braid group
Gwenael Massuyeau, Alexandru Oancea, Dietmar A. Salamon
We examine the action of the fundamental group of a Riemann surface with punctures on the middle dimensional homology of a regular fiber in a Lefschetz fibration, and descr…
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…