Topology at the Planck Length

Abstract

A basic arbitrariness in the determination of the topology of a manifold at the Planck length is discussed. An explicit example is given of a `smooth' change in topology from the 2-sphere to the 2-torus through a sequence of noncommuting geometries. Applications are considered to the theory of D-branes within the context of the proposed $M$(atrix) theory.

Orsay Preprint 97/34, 17 pages, Latex

References in corpus (5)

• Branes, Fluxes and Duality in M(atrix)-Theory
• Noncommutative Geometry and D-Branes
• Les Houches Lectures on Fields, Strings and Duality
• On the string interpretation of M(atrix) theory
• Fuzzy Surfaces of Genus Zero

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