The paper constructs a punctured sphere from Dynkin diagram data for 3-fold flops and announces that the fundamental group of this sphere acts on the derived category by new twist autoequivalences.
Katz, Genus zero Gopakumar-Vafa invariants of contractible curves, J.\ Differential Geom.\ 79 (2008), no
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Autoequivalences for 3-fold flops: an overview
The paper constructs a punctured sphere from Dynkin diagram data for 3-fold flops and announces that the fundamental group of this sphere acts on the derived category by new twist autoequivalences.