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Enumerative Geometry of Quot schemes on 3-folds

Speaker: 
Andrea Ricolfi
Institution: 
SISSA
Schedule: 
Thursday, April 11, 2019 - 11:30
Location: 
SISSA campus Miramare, room E
Location: 
Institute for Geometry and Physics - IGAP (Via Beirut, Miramare)
Abstract: 

We discuss the existence of a virtual fundamental class on Quot schemesof locally free sheaves on complex 3-folds. We compute Behrend’s virtual Euler characteristic of these Quot schemes, which in some cases gives rise to new examples of (higher rank) Donaldson-Thomas invariants. If time permits, we will sketch the parallel theory of motivic invariants.

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