ScalingStacks

Definition 3.2. Let $M$ be a $B$-framed $n$-manifold. Let $A$ be a $\disk_{n}^{B}$-algebra in $\mathcal{V}$. Factorization homology (of $M$ with coefficients in $A$) is an object of $\mathcal{V}$ given by either of the equivalent expressions (provided they exist)

	$\displaystyle\int_{M}A$	$\displaystyle:=$	$\displaystyle\colim\bigl(\disk_{n/M}^{B}\to\disk_{n}^{B}\xrightarrow{A}\mathcal{V}\bigr)$
		$\displaystyle\simeq$	$\displaystyle\mathbb{E}_{M}\underset{\disk_{M}^{B}}{\bigotimes}A~,$

where the latter is the coend.