Lefschetz fibrations, Lie groupoids and noncommutative geometry
Full text | |
Author(s): |
Barnes, Gwendolyn E.
;
Schenkel, Alexander
;
Szabo, Richard J.
Total Authors: 3
|
Document type: | Journal article |
Source: | LETTERS IN MATHEMATICAL PHYSICS; v. 107, n. 9, p. 1591-1628, SEP 2017. |
Web of Science Citations: | 0 |
Abstract | |
We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application, we study the `internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations. (AU) | |
FAPESP's process: | 16/04341-5 - Classical and quantum aspects of field theory on non-geometric backgrounds |
Grantee: | Vladislav Kupriyanov |
Support Opportunities: | Research Grants - Visiting Researcher Grant - International |