On Matveev-Piergallini moves for branched spines

Kohei Muramatsu, Sakie Suzuki, Koki Taguchi

The Matveev-Piergallini (MP) moves on spines of $3$-manifolds are well-known for their correspondence to the Pachner $2$-$3$ moves in dual ideal triangulations. Benedetti and Petro…