Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917703510392832 |
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| author | Kryczka, Jacob Sheshmani, Artan Yau, Shing-Tung |
| author_facet | Kryczka, Jacob Sheshmani, Artan Yau, Shing-Tung |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2406_16825 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism Kryczka, Jacob Sheshmani, Artan Yau, Shing-Tung Algebraic Geometry Differential Geometry Primary: 14A20, 14A30, 35A27, 58A15, 58A20, Secondary: 18N65, 53D30 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. |
| title | Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism |
| topic | Algebraic Geometry Differential Geometry Primary: 14A20, 14A30, 35A27, 58A15, 58A20, Secondary: 18N65, 53D30 |
| url | https://arxiv.org/abs/2406.16825 |