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arXiv · 0704.2884

Higher Nilpotent Analogues of A-infinity Structure

V. Dolotin·A. Morozov·Sh. Shakirov
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Abstract

Higher nilpotent analogues of the $A-\infty$-structure are explicitly defined on arbitrary simplicial complexes, generalizing explicit construction of /hep-th/0704.2609. These structures are associated with the higher nilpotent differential $d_n$, satisfying $d_n^n =0$, which is naturally defined on triangulated manifolds (tetrahedral lattices). The deformation $D_n = (I + ε_n) d_n (I + ε_n)^{-1}$ is defined with the help of the $n$-versions of discrete exterior product $\wedge_n$ and the $K_n$-operator.

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V. Dolotin, A. Morozov, Sh. Shakirov. 2007-10-10. Higher Nilpotent Analogues of A-infinity Structure. https://doi.org/10.1016/j.physletb.2007.05.022

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