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oai:riuma.uma.es:10630/136342026-02-03T12:02:02Zcom_10630_2254col_10630_37959

00925njm 22002777a 4500 dc Huerta, John author 2017-05-12 In this introduction for topologists, we explain the role that extensions of L-infinity algebras by taking homotopy fibers plays in physics. This first appeared with the work of physicists D'Auria and Fre in 1982, but is beautifully captured by the "brane bouquet" of Fiorenza, Sati and Schreiber which shows how physical objects such as "strings", "D-branes" and "M-branes" can be classified by taking successive homotopy fibers of an especially simple L-infinity algebra called the "supertranslation algebra". We then conclude by describing our joint work with Schreiber where we build the brane bouquet out of the homotopy theory of an even simpler L-infinity algebra called the "superpoint". http://hdl.handle.net/10630/13634 Cohomología, Teoría de Álgebra homológica L-InfinityAlgebras, Cohomology and M-Theory