Daniel Minahan

activity

20202026

most citedAll lines on a smooth cubic surface in terms of three skew lines

1 citations · 1 across the 9 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.GT2023

Automorphisms of the fine 1-curve graph

Katherine Williams Booth, Daniel Minahan, Roberta Shapiro

The fine 1-curve graph of a surface is a graph whose vertices are simple closed curves on the surface and whose edges connect vertices that intersect in at most one point. We show…

math.GT2023

The second rational homology of the Torelli group is finitely generated

Daniel Minahan

We prove that second rational homology of the Torelli group of an orientable closed surface of genus g is finite dimensional for g at least 51. This rules out the simplest obstruct…

math.GT2023

The acyclicity of the complex of homologous curves

Daniel Minahan

We show that the complex of homologous curves of a closed, oriented surface of genus g is (g-3)--acyclic.

math.GT2023

The cohomological dimension of the terms of the Johnson filtration

Daniel Minahan

We prove that the $k$ th term of the Johnson filtration of a closed, orientable surface of genus $g \geq 2$ has cohomological dimension $2 g - 3$ for all $k \geq 3$ and $g \geq 2$ . T…