58 citations · 502 across the 42 of their papers we have counts for
43 papers
A new quantum computational set-up for algebraic topology via simplicial sets
Roberto Zucchini
In this paper, a quantum computational framework for algebraic topology based on simplicial set theory is presented. This extends previous work, which was limited to simplicial com…
Quantum field theoretic representation of Wilson surfaces: II higher topological coadjoint orbit model
Roberto Zucchini
This is the second of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher 2--dimensional counterpart of…
Quantum field theoretic representation of Wilson surfaces: I higher coadjoint orbit theory
Roberto Zucchini
This is the first of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher version of the Kirillov-Kostant…
4-d Chern-Simons Theory: Higher Gauge Symmetry and Holographic Aspects
Roberto Zucchini
We present and study a 4d Chern-Simons (CS) model whose gauge symmetry is encoded in a balanced Lie group crossed module. Using the derived formal set-up recently found, the model…
Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2--gauge transformations
Roberto Zucchini
The geometry of the total space of a principal bundle with regard to the action of the bundle's structure group is elegantly described by the bundle's operation, a collection of de…
Operational total space theory of principal 2--bundles I: operational geometric framework
Roberto Zucchini
It is a classic result that the geometry of the total space of a principal bundle with reference to the action of the bundle's structure group is codified in the bundle's operation…