M. Nieland

most citedConnected-Sum Decompositions of Surfaces with Minimally-Intersecting Filling Pairs

1 citations · 2 across the 2 of their papers we have counts for

collaborators

2 papers

math.GT2021★ 1 cited

Origamis associated to minimally intersecting filling pairs

Tarik Aougab, William Menasco, Mark Nieland

Let $S_{g}$ denote the closed orientable surface of genus $g$ . In joint work with Huang, the first author constructed exponentially-many (in $g$ ) mapping class group orbits of pair…

math.GT2016★ 1 cited

Connected-Sum Decompositions of Surfaces with Minimally-Intersecting Filling Pairs

Mark Nieland

Let $S_{g}$ be a closed surface of genus $g$ and let $(α, β)$ be a filling pair on $S_{g}$ ; then $i (α, β) \geq 2 g - 1$ , where $i$ is the (geometric) intersection number. Aoug…