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arXiv · 2406.16825

Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism

Jacob Kryczka·Artan Sheshmani·Shing-Tung Yau
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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.

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Jacob Kryczka, Artan Sheshmani, Shing-Tung Yau. 2024-06-24. Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism. https://arxiv.org/abs/2406.16825

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