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Cattaneo, Alberto S; Mnev, Pavel (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. Journal of Geometry and Physic, 192:104956.
In classical field theory, gluing spacetime manifolds along boundary corresponds to taking a fiber product of the corresponding spaces of fields (as differential graded Fréchet manifolds) up to homotopy. We construct this homotopy explicitly in several examples in the setting of BV-BFV formalism (Batalin–Vilkovisky formalism with cutting–gluing).
| Item Type: | Journal Article, refereed, original work |
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| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Mathematical Physics
Physical Sciences > General Physics and Astronomy Physical Sciences > Geometry and Topology |
| Uncontrolled Keywords: | Geometry and Topology, General Physics and Astronomy, Mathematical Physics Classical field theory, Cutting-gluing, Batalin-Vilkovisky formalism, Fiber product, Chain homotopy |
| Language: | English |
| Date: | 1 October 2023 |
| Deposited On: | 10 Oct 2023 15:14 |
| Last Modified: | 29 Dec 2024 02:40 |
| Publisher: | Elsevier |
| ISSN: | 0393-0440 |
| Additional Information: | Acknowledgments We thank Eugene Rabinovich for sharing some ideas related to this work. We are also very much indebted to Domenico Fiorenza and Bruno Vallette for helpful comments and for suggesting (independently) the construction sketched in Section 2.3. |
| OA Status: | Hybrid |
| Publisher DOI: | https://doi.org/10.1016/j.geomphys.2023.104956 |
| Project Information: |
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Cattaneo, Alberto S