\documentclass[tikz]{standalone}

\usetikzlibrary{decorations.pathreplacing,decorations.markings}
\usetikzlibrary{patterns}
\begin{document}

\begin{tikzpicture}
%%%% ordinary arc +1 definition
% draw exterior arcs
\draw (0,1) to (1,0);
\draw (1,0) to (2,1);
\draw (2,1) to (1,2);
\draw (1,2) to (0,1);
\draw (1,0) to (1,2);

%draw vertices
\draw[fill=black] (0,1) circle[radius=2pt];
\draw[fill=black] (1,0) circle[radius=2pt];
\draw[fill=black] (1,2) circle[radius=2pt];
\draw[fill=black] (2,1) circle[radius=2pt];

%draw lamination
\draw[out=30,in=-120,red,densely dashed] (0.3,0.3) to (1.7,1.7);

%label
\node[scale=1,red] at (1,-0.5) {$+1$};

%%%% ordinary arc -1 definition
% draw exterior arcs
\draw (3,1) to (4,0);
\draw (4,0) to (5,1);
\draw (5,1) to (4,2);
\draw (4,2) to (3,1);
\draw (4,0) to (4,2);

%draw vertices
\draw[fill=black] (3,1) circle[radius=2pt];
\draw[fill=black] (4,0) circle[radius=2pt];
\draw[fill=black] (4,2) circle[radius=2pt];
\draw[fill=black] (5,1) circle[radius=2pt];

%draw lamination
\draw[out=-60,in=160,red,densely dashed] (3.3,1.7) to (4.7,0.3);

%label
\node[scale=1,red] at (4,-0.5) {$-1$};

\end{tikzpicture}

\end{document}