Closed String Topologies

closed-string-topologies

Edit and compile if you like:

\documentclass[tikz]{standalone}
\usetikzlibrary{tqft,calc}
\begin{document}
\begin{tikzpicture}[
every tqft/.append style={
transform shape, rotate=90, tqft/circle x radius=7pt,
tqft/boundary separation=1cm, tqft/view from=incoming
}
]
% cobordism at upper left
\pic[
tqft/cylinder to prior,
name=a,
every incoming lower boundary component/.style={draw},
every outgoing lower boundary component/.style={draw},
cobordism edge/.style={draw},
];
\pic[
tqft/cup,
cobordism edge/.style={draw},
at=(a-outgoing boundary),
];
% annotation of cobordism at upper left
\coordinate (temp1) at ($(a-incoming boundary.west)!0.3!(a-outgoing boundary.west) +(0,0.08)$);
\coordinate (temp2) at ($(a-incoming boundary.west)!0.7!(a-outgoing boundary.west) +(0,-0.08)$);
\draw[dashed]
(temp1) node[below] {$\tau_1$} to[bend right=40] ++(0,0.5)
(temp2) node[below] {$\tau_2$} to[bend left=40] ++(0,0.5);
\draw[->] ($(a-incoming boundary.west) - (0.2,0)$) node[below] {$\sigma$} to[bend left=40] ++(0,0.5);
\draw (a-outgoing boundary) ++(0.85,0) node {$+$};
\draw[->] ($(a-incoming boundary.east)+(0.1,0.1)$) to[bend left=13] +(0.9,-0.2);
\node[above] at ($(a-incoming boundary.east)+(0.55,0.1)$) {$\tau$};
% cobordism at upper right consisting of two 'pants' and a cup
\pic[
tqft/pair of pants,
 
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Click to download: closed-string-topologies.tex
Open in Overleaf: closed-string-topologies.tex
This file is available on tikz.netlify.app and on GitHub and is MIT licensed.
See more on the author page of Janosh Riebesell..

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