5 papers
Restricted (2+1)-TQFTs supported by thickened and solid tori
Dušan Đorđević, Danica Kosanović, Jovana Nikolić +1
A faithful TQFT has recently been constructed, but the existence of a faithful TQFT remains an open question, that subsumes the hard problem of linearity of mapping…
Coherence for logicians
Zoran Petric, Mladen Zekic
This paper is addressed to logicians not familiar with category theory. It gives a new proof of coherence for symmetric monoidal closed categories, proven by Kelly and Mac Lane in…
Chromatic numbers for facet colouring of some generalised associahedra
Djordje Baralic, Jelena S. Ivanovic, Zoran Petric
The chromatic number related to a colouring of facets of certain classes of generalised associahedra is studied. The exact values are obtained for permutohedra, associahedra and si…
A diagrammatic calculus for categorical quantum protocols
Dusan Dordevic, Zoran Petric, Mladen Zekic
As shown by Abramsky and Coecke, quantum mechanics can be studied in terms of dagger compact closed categories with biproducts. Within this structure, many well-known quantum proto…
A faithful 2-dimensional TQFT
Stevan Gajovic, Zoran Petric, Sonja Telebakovic
It has been shown in this paper that the commutative Frobenius algebra provides a complete invariant for two-dimensional cobordisms, i.e., that the correspond…