Toledo invariants of Topological Quantum Field Theories

Bertrand Deroin, Julien Marché

We prove that the Fibonacci quantum representations ${\rho }_{g,n}:{\mathrm{Mod}}_{\mathrm{g},\mathrm{n}}\to \mathrm{PU}(\mathrm{p},\mathrm{q})$ for $(g,n)\in \{(0,4),(0,5),(1,2),(1,3),(2,1)\}$ are holonomy representations of complex…