Séminaire de Mathématique

Virtual fundamental cycles and implicit atlases

by Prof. John PARDON (Stanford University & IHÉS)

Europe/Paris
Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane

IHES

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