| Résume | F-CohFTs are the natural generalization of cohomological field theories (CohFTs) when moving from the Deligne- Mumford compactification of the moduli space of stable curves given by nodal stable curves to the partial compactification given by curves with only separating nodes. They are natural under various viewpoints and were inspired by integrable systems considerations. As it happens for CohFTs, F-CohFTs can be used to probe the cohomology of this partial compactification, based on an analogue of the Givental-Teleman classification of semisimple CohFTs and similar nonsemisimple limiting techniques. |
