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A Point's Point of View of Stringy Geometry

Paul S. Aspinwall
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Abstract

The notion of a "point" is essential to describe the topology of spacetime. Despite this, a point probably does not play a particularly distinguished role in any intrinsic formulation of string theory. We discuss one way to try to determine the notion of a point from a worldsheet point of view. The derived category description of D-branes is the key tool. The case of a flop is analyzed and Pi-stability in this context is tied in to some ideas of Bridgeland. Monodromy associated to the flop is also computed via Pi-stability and shown to be consistent with previous conjectures.

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Paul S. Aspinwall. 2002-04-01. A Point's Point of View of Stringy Geometry. https://doi.org/10.1088/1126-6708%2F2003%2F01%2F002

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