On Koszul-Tate resolutions and Sullivan models

@article{Pitalo2017OnKR,
  title={On Koszul-Tate resolutions and Sullivan models},
  author={Damjan Pi{\vs}talo and Norbert Poncin},
  journal={arXiv: Mathematical Physics},
  year={2017}
}
We report on Koszul-Tate resolutions in Algebra, in Mathematical Physics, in Cohomological Analysis of PDE-s, and in Homotopy Theory. Further, we define an abstract Koszul-Tate resolution in the frame of $\mathcal{D}$-Geometry, i.e., geometry over differential operators. We prove Comparison Theorems for these resolutions, thus providing a dictionary between the different fields. Eventually, we show that all these resolutions are of the new $\mathcal{D}$-geometric type. 
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