64 citations · 376 across the 37 of their papers we have counts for
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Nielsen Equivalence in Fuchsian groups
Martin Lustig, Yoav Moriah
In this paper we give a complete classification of minimal generating systems in a very general class of Fuchsian groups G. This class includes for example any G which has at least…
Are large distance Heegaard splittings generic ?
Martin Lustig, Yoav Moriah
In a previous paper we introduced a notion of "genericity" for countable sets of curves in the curve complex of a surface S, based on the Lebesgue measure on the space of projectiv…
Horizontal Dehn Surgery and genericity in the curve complex
Martin Lustig, Yoav Moriah
We introduce a general notion of "genericity" for countable subsets of a space with Borel measure, and apply it to the set of vertices in the curve complex of a surface S, interpre…
Intersection form, laminations and currents on free groups
Ilya Kapovich, Martin Lustig
Let be a free group of rank , let be a geodesic current on and let be an -tree with a very small isometric action of . We prove that the…
High distance Heegaard splittings via fat train tracks
Martin Lustig, Yoav Moriah
We define "fat" train tracks and use them to give a combinatorial criterion for the Hempel distance of Heegaard splittings for closed orientable 3-manifolds. We apply this criterio…
A finiteness result for Heegaard splittings
Martin Lustig, Yoav Moriah
In this paper we show that for a given 3-manifold and a given Heegaard splitting there are finitely many preferred decomposing systems of disjoint essential disks. These a…