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A note on gluing via fiber products in the (classical) BV-BFV formalism

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arxiv 2208.11211 v1 pith:R24E3PRK submitted 2022-08-23 math-ph math.MPmath.QA

Alberto S. Cattaneo , Pavel Mnev This is my paper · ORCID
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keywords formalismbv-bfvclassicalfibergluinghomotopymanifoldsalong
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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 Fr\'echet 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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  1. Semi-local observables, edge modes and quantum reference frames in quantum electromagnetism: an algebraic approach

    math-ph 2025-08 conditional novelty 7.0 of 10

    Electromagnetic edge modes on bounded spacetimes with corners are treated as quantum reference frames for large gauge transformations via a state-independent C*-algebraic relativisation map, with superselection sector...

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