111     \gl: \bigoplus_a \bc_*(X; a, a, c) \to \bc_*(X\sgl; c\sgl).

   111     \gl: \bigoplus_a \bc_*(X; a, a, c) \to \bc_*(X\sgl; c\sgl).

   112 }

   112 }

   113 The sum is over all fields $a$ on $Y$ compatible at their

   113 The sum is over all fields $a$ on $Y$ compatible at their

   114 ($n{-}2$-dimensional) boundaries with $c$.

   114 ($n{-}2$-dimensional) boundaries with $c$.

   115 ``Natural" means natural with respect to the actions of diffeomorphisms.

   115 ``Natural" means natural with respect to the actions of diffeomorphisms.

   116 \end{prop}

   117 \end{prop}

   117 

   118 

   118 This map is very far from being an isomorphism, even on homology.

   119 This map is very far from being an isomorphism, even on homology.

   119 We fix this deficit in \S\ref{sec:gluing} below.

   120 We fix this deficit in \S\ref{sec:gluing} below.