On Koszul-Tate resolutions and Sullivan models
Mathematical Physics
2018-11-06 v1 math.MP
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 -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 -geometric type.
Cite
@article{arxiv.1708.05936,
title = {On Koszul-Tate resolutions and Sullivan models},
author = {Damjan Pistalo and Norbert Poncin},
journal= {arXiv preprint arXiv:1708.05936},
year = {2018}
}