• Corpus ID: 219401493

Non-linear homomorphisms of algebras of functions are induced by thick morphisms.

@article{Khudaverdian2020NonlinearHO,
  title={Non-linear homomorphisms of algebras of functions are induced by thick morphisms.},
  author={Hovhannes M. Khudaverdian},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
In 2014, Voronov introduced the notion of thick morphisms of (super)manifolds as a tool for constructing $L_{\infty}$-morphisms of homotopy Poisson algebras. Thick morphisms generalise ordinary smooth maps, but are not maps themselves. Nevertheless, they induce pull-backs on $C^{\infty}$ functions. These pull-backs are in general non-linear maps between the algebras of functions which are so-called 'non-linear homomorphisms'. By definition, this means that their differentials are algebra… 
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