On a certain generalization of spherical twists

This note gives a generalization of spherical twists, and describe the autoequivalences associated to certain non-spherical objects. Typically these are obtained by deforming the structure sheaves of (0,-2)-curves on threefolds, or deforming $\mathbb{P}$-objects introduced by D.Huybrecht and R.ThomasComment: 14page

The ideals of the homological Goldman Lie algebra

We determine all the ideals of the homological Goldman Lie algebra, which reflects the structure of an oriented surface.Comment: 8 page