Higher Nilpotent Analogues of A-infinity Structure

Details Higher Nilpotent Analogues of A-infinity Structure Higher Nilpotent Analogues of A-infinity Structure

2007-04-22

arxiv.org/abs/0704.2884v3

Phys.Lett.B651:71-73,2007

Physics

High Energy Physics

High Energy Physics - Theory

preliminary version, essential corrections made

Scientific paper

10.1016/j.physletb.2007.05.022

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 $D_n = (I + \epsilon_n) d_n (I + \epsilon_n)^{-1}$ is defined with the help of the $n$-versions of discrete exterior product $\wedge_n$ and the $K_n$-operator.

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