# Drawing two TQFT diagrams (a circle and a loop) using xypic

I have been searching online the last few hours and how do you draw the following two diagrams using xypic? I used the following but the circle looks too small. Thanks in advance!

\documentclass[reqno]{amsart}
\usepackage{tikz}
\usepackage{tqft}
\usepackage[all,knot]{xy}
\begin{document}

$$\xy \vcap\vcap- \endxy$$

\end{document}


EDIT: I think the first image could be drawn using this (see below), and the second image below is the best I can do for now:

$$\xy (6,0)*{}="1"; (-6,0)*{}="2"; "1";"2" **\crv{(7,15)&(-7,15)} ?(0)*\dir{>} ; "2";"1" **\crv{ (-7,-15)& (7,-15)} ?(.05)*\dir{>} ; \endxy \quad = 1 \quad \qquad \qquad \qquad \qquad \qquad \xy (-6,-12)*{} ; (-6,12)*{}**\crv{(-6,6)} ?>*\dir{>}; {\ar@/_1pc/(-6,1)*{};(-15,1)*{}}; {\ar@/_1pc/(-15,1)*{};(-6,1)*{}} \quad = 0 \endxy$$


Since you are already loading tikz, you could use it:

\documentclass[reqno]{amsart}
\usepackage{tikz}
\usetikzlibrary{decorations.markings}

\begin{document}

$$\begin{tikzpicture}[ baseline=-3pt, decoration={ markings, mark=at position 0.5 with {\arrow{>}} } ] \draw[postaction=decorate] (0,0) circle [radius=13pt]; \end{tikzpicture} =1\qquad\qquad \begin{tikzpicture}[baseline=-3pt] \draw[->] (0,-1) to[out=90,in=90,looseness=2] (-1,0) to[out=-90,in=-90,looseness=2] (0,1); \end{tikzpicture} =0$$

\end{document}


The result: