Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• Main Author: Gomi, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148623
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups / K. Gomi // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 29 назв. — англ.

A twist is a datum playing a role of a local system for topological K-theory. In equivariant setting, twists are classified into four types according to how they are realized geometrically. This paper lists the possible types of twists for the torus with the actions of the point groups of all the 2-...