Lucy Tobin

collaborators

2 papers

math.GT2026

Vertex Bounds in Triangulated $d$ -Manifolds and an Application to 4-Manifold Complexity

Jonathan Spreer, Lucy Tobin

We investigate face numbers of generalised triangulations of manifolds in arbitrary dimensions. This is motivated by the study of connections between the combinatorics of triangula…

math.GT2025

Small Triangulations of Simply Connected 4-Manifolds

Jonathan Spreer, Lucy Tobin

We present small triangulations of all connected sums of $CP^{2}$ and $S^{2} \times S^{2}$ with the standard piecewise linear structure. Our triangulations have $2 I^_{2}^{2} + 2$ pentac…

Vertex Bounds in Triangulated d-Manifolds and an Application to 4-Manifold Complexity

Small Triangulations of Simply Connected 4-Manifolds

Vertex Bounds in Triangulated $d$ -Manifolds and an Application to 4-Manifold Complexity