Bonelli, GiulioBonora, LorianoRicco, Antonio20052011-09-0720052011-09-072005https://openscience.sissa.it/handle/1963/1781This paper is a continuation of hepth/0507224 where open topological B-models describing D-branes on 2-cycles of local Calabi--Yau geometries with conical singularities were studied. After a short review, the paper expands in particular on two aspects: the gauge fixing problem in the reduction to two dimensions and the quantum matrix model solutions.232687 bytesapplication/pdfen-USPreprint