Le Bois Marie
35, route de Chartres
I will talk about a method of constructing virtual fundamental cycles on moduli spaces of J-holomorphic maps. The construction uses quite a bit of homological algebra, in particular homotopy colimits and homotopy sheaves, and most of the action happens "at the chain level". I will also mention some applications to existing and conjectural enumerative invariants in symplectic and contact geometry.