\documentclass[tikz]{standalone}

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

\begin{tikzpicture}
%internal arcs
\draw[blue, out=75,in=-180] (0,0) to (0.3,0.85);
\draw[blue, out=0,in=0, looseness = 1.2] (0,0) to node[midway,left,scale=0.75, yshift = -5pt]{$c$} (0.3,0.85);
\draw[red, out=105,in=0] (0,0) to (-0.3,0.85);
\draw[red, out=180,in=180, looseness = 1.2] (0,0) to node[midway,right,scale=0.75, yshift = -4pt]{$b$} (-0.3,0.85);

%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[] (0,1.2) node[scale = 0.75] {$a$};

%\draw[orange,  densely dashed, out = 10, in = 0, looseness = 1.8](0,0) to (0.1,0.97);
\draw[orange, densely dashed, out = 180, in = 180, looseness = 3.5] (0,1) to (0,0.4);
\draw[orange, densely dashed, out = 0, in = 0, looseness = 3.5] (0,1) to (0,0.4);

%draws vertices
\draw[fill=black] (0,0) circle [radius=2pt];
\draw[fill=black] (0,1) circle [radius=1pt];
\draw[thick] (-0.3,0.65) node {$\mathbf{\times}$};
\draw[thick] (0.3,0.65) node {$\mathbf{\times}$};


\end{tikzpicture}

\end{document}