30 citations · 37 across the 3 of their papers we have counts for
4 papers
Branched shadows and complex structures of 4-manifolds
Francesco Costantino
We define and study branched shadows of 4-manifolds as a combination of branched spines of 3-manifolds and Turaev's shadows. We use these objects to combinatorially represent 4-man…
A short introduction to shadows of 4-manifolds
Francesco Costantino
We give a self-contained introduction to the theory of Turaev's shadows as a tool to study 3 and 4-manifolds. The goal of the present paper twofold: on one side it is intended to b…
A calculus for branched spine of 3-manifolds
Francesco Costantino
We establish a calculus for branched spines of 3-manifolds by means of branched Matveev-Piergallini moves and branched bubble-moves. We briefly indicate some of its possible applic…
A calculus for shadows of smooth 4-manifolds
Francesco Costantino
The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.