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arXiv · 1708.05936

On Koszul-Tate resolutions and Sullivan models

Damjan Pistalo·Norbert Poncin
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Abstract

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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Damjan Pistalo, Norbert Poncin. 2017-08-20. On Koszul-Tate resolutions and Sullivan models. https://doi.org/10.4064/dm779-1-2018

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