String Theory Journal Club

In this quantum approach of Kontsevich, the intersection theory was generalized by Quantum Cohomology. The study by Kontsevitch was strictly related to the Feynman path integrals. We consider the Feynman path integrals in real and complex cases and give some generalization for general exponential families. Then we show that we are able to generalize some Feynman vacuum diagrams for Frobenius manifolds. These Frobenius manifolds are the cohomology vectors space of the target manifold, endowed with some differential geometric data.