Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism
Algebraic Geometry
2024-06-25 v1 Differential Geometry
Abstract
This paper is the second in a series of works dedicated to studying non-linear partial differential equations via derived geometric methods. We study a natural derived enhancement of the de Rham complex of a non-linear PDE via algebro-geometric techniques and examine its consequences for the functional differential calculus on the space of solutions. Applications to the BV-formalism with and without boundary conditions are discussed.
Cite
@article{arxiv.2406.16825,
title = {Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism},
author = {Jacob Kryczka and Artan Sheshmani and Shing-Tung Yau},
journal= {arXiv preprint arXiv:2406.16825},
year = {2024}
}
Comments
59 pages