Advances in Theoretical and Mathematical Physics
Volume 24 (2020)
The first of two special issues in honor of Cumrun Vafa’s 60th birthday
Invertible phases of matter with spatial symmetry
Pages: 1773 – 1788
We propose a general formula for the group of invertible topological phases on a space $Y$, possibly equipped with the action of a group $G$. Our formula applies to arbitrary symmetry types. When $Y$ is Euclidean space and $G$ a crystallographic group, the term ‘topological crystalline phases’ is sometimes used for these phases of matter.
This material is based upon work supported by the National Science Foundation under Grant Numbers DMS-1158983, DMS-1160461, DMS-1510417, and DMS-1611957.
Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Published 8 September 2021