diff --git a/rcruz.tex b/rcruz.tex
index fbd7d3e..ae84a59 100644
--- a/rcruz.tex
+++ b/rcruz.tex
@@ -1,5 +1,5 @@
 Note that in view of \eqref{mappingconelift} the lift of classes
-of $H_2({X}, \partial {X})$ or $H^2(X)$ is the sum of two in general
+of $H^2({X}, \partial {X})$ or $H^2(X)$ is the sum of two in general
 non-holomorphic modular forms (see below).
 
 In \cite{FMres} we systematically study for $\Orth(p,q)$ the
@@ -25,10 +25,10 @@ \subsubsection*{Linking numbers in $3$-manifolds of type Sol}
 \[
 \Lk(a,b) = A \cdot b
 \]
-of (rational) chains in $M$. Here $A$ is a $2$-chain in $M$ with boundary $a$. We show 
+of (rational) chains in $M$. Here $A$ is a $2$-chain in $M$ with boundary $a$. We show
 
 \begin{theorem}\label{FM-linking} (Theorem~\ref{xi'-integralP})
-Let $c$ be \bf{homologically} trivial $1$-cycle in $\partial \overline{X}$ which
+Let $c$ be \textbf{homologically} trivial $1$-cycle in $\partial \overline{X}$ which
 is disjoint from the torus fibers containing components of $\partial
 C_n$. Then the holomorphic part of the weight $2$ non-holomorphic
 modular form $\int_c \theta_{\phi_1^W}$ is given by the generating