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Merge pull request #21 from Robin-Cruz/master
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Fixed two typos on page 3 and 4
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rbeezer committed Apr 27, 2016
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6 changes: 3 additions & 3 deletions rcruz.tex
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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
Expand All @@ -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
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