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
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).