Finite Groupoid Gauging and Gluing
About this page
Pipeline-generated
How statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced: the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted: a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated: a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
1 · Prerequisites
Quantum Field Theory Mathematics
2 · Logical flowchart
3 · Items
Definition
Finite background groupoid and cocycle-weighted gauging data
Theorem
Finite cocycle-weighted groupoid gauging and gluing
Theorem
Finite 2-group homotopy gauging and cochain gluing
Sources
- Moore and Saxena, TASI Lectures on Topological Field Theories and Differential Cohomology
- Daniel S. Freed and Frank Quinn, Chern-Simons Theory with Finite Gauge Group
- Robbert Dijkgraaf and Edward Witten, Topological Gauge Theories and Group Cohomology
- Gregory W. Moore and Vivek Saxena, TASI Lectures on Topological Field Theories and Differential Cohomology
- Baez and Lauda, Higher-Dimensional Algebra V: 2-Groups
- Benini, Cordova and Hsin, On 2-Group Global Symmetries and Their Anomalies