\documentclass[tikz]{standalone}

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

\begin{tikzpicture}
%internal arcs
\draw[out=75,in=-180] (0,0) to (0.3,0.85);
\draw[out=0,in=0, looseness = 1] (0,0) to node[midway,left,scale=0.6,yshift=-4pt]{$2$} (0.3,0.85);
%\node[above,scale=0.6,yshift=-2pt] at (-0.2,0.3) {$1$};
\draw[out=105,in=0] (0,0) to (-0.3,0.85);
\draw[out=180,in=180, looseness = 1] (0,0) to node[midway,right,scale=0.6,yshift=-4pt]{$1$} (-0.3,0.85);
%\node[above,scale=0.6,yshift=-2pt] at (0.2,0.3) {$2$};
\node[orange, above, scale = 0.6,xshift=-3pt] at (0,0.8){$\gamma_1$};

%external arc
\draw[looseness=1.75,out=0,in=0] (0,0) to (0,1.3);
\draw[looseness=1.75,out=180,in=180] (0,1.3) to (0,0);

\draw[orange, out = 10, in = 0, looseness = 1.4](0,0) to (0.2,0.95);
\draw[orange, out = 5, in = 0, looseness = 1.9](0,0) to (0,1.1);
\draw[orange, out = 10, in = 180, looseness = 1](-0.3,0.5) to (0.2,0.95);
\draw[orange, out = 180, in = 180, looseness = 1.8](-0.3,0.5) to (0,1.1);

%draws vertices
\draw[fill=black] (0,0) circle [radius=2pt];
\draw[thick] (-0.3,0.65) node {$\mathbf{\times}$};
\draw[thick] (0.3,0.65) node {$\mathbf{\times}$};

%exterior label
\node [above,scale=0.5,yshift=8pt] at (0,1) {$a$};

\end{tikzpicture}

\end{document}