diff --git a/Notes/parquet.tex b/Notes/parquet.tex
index f29aade..67c6950 100644
--- a/Notes/parquet.tex
+++ b/Notes/parquet.tex
@@ -494,6 +494,8 @@ which gives
 \end{multline}
 This term brings the direct part of the pp and eh $T$-matrix terms.
 
+
+
 The last term, $\cK_\Gamma$, is more tricky, as it requires a non-trivial vertex as an input.
 \begin{equation}
 \begin{split}
@@ -515,9 +517,11 @@ By setting $\cK = \cK_G = \ii W$ and $\fdv*{\cK}{G} = 0$, we get
 	+ G(54)G(43)G(32) \Big]
 \end{multline}
 which is analogous to Eq.~\eqref{eq:Gamma_W} upon exchange.
-hence, this term brings the exchange part of the pp and eh $T$-matrix terms.
+Hence, this term brings the exchange part of the pp and eh $T$-matrix terms.
 Topological novel diagrams are exclusively introduced by this term.
 
+\titou{I think there are some typos in the indices throughout the paper.}
+
 %%%%%%%%%%%%%%%%%%%%%%%%
 \acknowledgements{
 This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (Grant agreement No.~863481).}