Minimal triangulations of (S^3\times S^1)^{#3} and (S^3 \(twisted product) S^1)^{#3}

Nitin Singh

A triangulated $d$-manifold $K$, satisfies the inequality $\left(\genfrac{}{}{0ex}{}{f_0(K)-d-1}{2}\right)\ge \left(\genfrac{}{}{0ex}{}{d+2}{2}\right){\beta }_1(K;{\mathbb{Z}}_2)$ for $d\ge 3$. The triangulated $d$-manifolds that meet the…