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Article Dans Une Revue Methods in functional analysis and topology Année : 2022

ON STOCHASTIC COSURFACES AND TOPOLOGICAL QUANTUM FIELD THEORIES

Résumé

We analyze the notion of a stochastic cosurface and show the following: the obstructions to the construction of non-abelian stochastic cosurfaces previously highlighted can be overcome by an ordering choice; the presence of an underlying manifold is not mandatory and stochastic cosurfaces can be defined in more general CW-complexes. We also describe a dimension extension procedure, in which any d-stochastic cosurface can be extended to a (d + k)-stochastic cosurface if the underlying CW-complex has (d + k)-faces. We finish with a link of stochastic cosurfaces with topological quantum field theories and with an analog of deformation algebra indexed by a non-linear set of formal variables.

Dates et versions

hal-04038685 , version 1 (03-08-2023)

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Citer

Jean-Pierre Magnot. ON STOCHASTIC COSURFACES AND TOPOLOGICAL QUANTUM FIELD THEORIES. Methods in functional analysis and topology, 2022, 28 (3), pp.242-258. ⟨10.31392/MFAT-npu26_3.2022.04⟩. ⟨hal-04038685⟩
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