30 citations · 37 across the 3 of their papers we have counts for
5 papers · 1 filter
Colored Jones invariants of links in S^3 # k S^2 X S^1 and the Volume Conjecture
Francesco Costantino
We extend the definition of the colored Jones polynomials to framed links and trivalent graphs in S^3 # k S^2 X S^1 using a state-sum formulation based on Turaev's shadows. Then, w…
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The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.