# Drawing a certain figure

\documentclass[tikz,border=3mm]{standalone}
\usetikzlibrary{arrows.meta,bending,backgrounds,calc}
\begin{document}
\begin{tikzpicture}
\draw (-3,2) to[out=-20,in=180] coordinate[pos=0.4] (t1)
coordinate[pos=0.5] (t1') (0,1.5)
to[out=0,in=-160] coordinate[pos=0.5] (t2') coordinate[pos=0.6] (t2)
(3,2)
(-3,-2) to[out=20,in=180] coordinate[pos=0.4] (b1) node[pos=0.45,below]{0}
coordinate[pos=0.5] (b1') (0,-1.5) to[out=0,in=-200]
coordinate[pos=0.5] (b2')  node[pos=0.55,below]{1}
coordinate[pos=0.6] (b2) (3,-2);
\draw[dashed] (0,1.5) arc(90:270:0.5 and 1.5);
\draw (0,-1.5) node[below]{$A$} arc(-90:90:0.5 and 1.5) node[above right]{$\gamma$};
\draw[-{Stealth[bend]}] (0,-1.5) arc(-90:3:0.5 and 1.5);
\begin{scope}[on background layer]
\clip (-3,2) to[out=-20,in=180] (0,1.5)
to[out=0,in=-160]  (3,2) --
(3,-2) to[out=160,in=0] (0,-1.5) to[out=0,in=20]  (-3,-2) -- cycle;
\draw[thick] (-2.8,0) to[out=10,in=175] (1,0.2) to[out=-5,in=170] (2.8,0);
\draw[thick,-{Stealth[bend]}] (-2.8,0) to[out=10,in=175] (1,0.2)
node[below right]{$\alpha$};
angle=180,opacity=0.8] let \p1=($(t1)-(b1)$),\p2=($(t1')-(b1')$)
angle=180,opacity=0.8] let \p1=($(t2)-(b2)$),\p2=($(t2')-(b2')$)