Séminaire de Mathématique

Virtual fundamental cycles and implicit atlases

by Prof. John PARDON (Stanford University & IHÉS)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
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.