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Topology at the Planck length

J Madore et al 1998 Class. Quantum Grav. 15 811-826   doi: 10.1088/0264-9381/15/4/009  Help

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J Madore and L A Saeger
Laboratoire de Physique Théorique et Hautes Energies, Université de Paris-Sud, Bât. 211, F-91405 Orsay, France

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 non-commuting geometries. Applications are considered to the theory of D-branes within the context of the proposed M(atrix) theory.

PACS numbers: 0240, 0420C, 0460

Print publication: Issue 4 (April 1998)
Received 21 October 1997

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