Bridgeland stability conditions with massless objects
The Bridgeland stability space of a triangulated category is a non-compact complex manifold with a wall-and-chamber structure capturing interesting aspects of the category’s structure.
I will describe joint work with Broomhead, Pauksztello and Ploog in which we partially compactify the stability space by allowing `degenerate’ stability conditions with massless objects.
One reason this is interesting is that the added boundary points are closely related to the walls. I will illustrate this connection in low-dimensional examples arising from quivers with two vertices.
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