论文标题

在(经典)BV-BFV形式主义中通过纤维产品粘合的注释

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

论文作者

Cattaneo, Alberto S., Mnev, Pavel

论文摘要

在古典场理论中,沿边界的时空歧管对应于将相应的田地空间(作为差分级的Fréchet歧管)的纤维产物与同型。我们在BV-BFV形式主义(Batalin-vilkovisky形式主义与切割)的几个例子中明确构建了这种同喻。

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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