Publication: A note on gluing via fiber products in the (classical) BV-BFV formalism
A note on gluing via fiber products in the (classical) BV-BFV formalism
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Cattaneo, A. S., & Mnev, P. (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. Journal of Geometry and Physic, 192, 104956. https://doi.org/10.1016/j.geomphys.2023.104956
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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).
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Cattaneo, A. S., & Mnev, P. (2023). A note on gluing via fiber products in the (classical) BV-BFV formalism. Journal of Geometry and Physic, 192, 104956. https://doi.org/10.1016/j.geomphys.2023.104956