Oriented Closed Polyhedral Maps and the Kitaev Model

A kind of combinatorial map, called arrow presentation, is proposed to encode the data of the oriented closed polyhedral complexes Σ on which the Hopf algebraic Kitaev model lives. We develop a theory of arrow presentations which underlines the role of the dual of the double (Σ)* of Σ as being the S...

Full description

Saved in:
Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Szlachányi, Kornél
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212259
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Oriented Closed Polyhedral Maps and the Kitaev Model. Kornél Szlachányi. SIGMA 20 (2024), 048, 55 pages

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine