Commit c4118ec6 authored by Jan-Bernhard Kordaß's avatar Jan-Bernhard Kordaß

Added draft of the lectures from the second RTG day.

parent 1627ea30
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img/1.png

38.8 KB

img/2.png

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img/3.png

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......@@ -81,6 +81,8 @@
\DeclareMathOperator{\Bild}{Im}
\DeclareMathOperator{\Rang}{Rank}
\DeclareMathOperator{\Ker}{Ker}
\DeclareMathOperator{\coker}{coker}
\DeclareMathOperator{\colim}{colim} % colimit
\DeclareMathOperator{\Hom}{Hom} % homomorphisms
\DeclareMathOperator{\Diff}{Diff} % diffeomorphisms
......@@ -90,6 +92,8 @@
\DeclareMathOperator{\Isom}{Isom} % isometriess
\DeclareMathOperator{\Imm}{Imm} % immersions
\DeclareMathOperator{\Wh}{Wh} % Whitehead group
\DeclareMathOperator{\Vol}{Vol} % volume
\DeclareMathOperator{\Ext}{Ext} % Ext term
......
......@@ -19,6 +19,47 @@
\usepackage{tikz}
\usepackage{tikz-cd}
\usetikzlibrary{matrix,arrows,calc,intersections, through, positioning, patterns, decorations.text, decorations.pathmorphing, decorations.markings, decorations.pathreplacing}
% (optional) [left|right], one point, the other point
\newcommand{\ellipsebetweenvert}[3][]{
\ifthenelse{\equal{#1}{right}}{
\draw[looseness=0.5,out=0,in=0,dashed] (#2) to (#3);
}{
\draw[looseness=0.5,out=0,in=0] (#2) to (#3);
}
\ifthenelse{\equal{#1}{left}}{
\draw[looseness=0.5,out=180,in=180,dashed] (#2) to (#3);
}{
\draw[looseness=0.5,out=180,in=180] (#2) to (#3);
}
}
% (optional) [upper|lower], one point, the other point
\newcommand{\ellipsebetweenhor}[3][]{
\ifthenelse{\equal{#1}{upper}}{
\draw[looseness=0.5,out=90,in=90,dashed] (#2) to (#3);
}{
\draw[looseness=0.5,out=90,in=90] (#2) to (#3);
}
\ifthenelse{\equal{#1}{lower}}{
\draw[looseness=0.5,out=270,in=270,dashed] (#2) to (#3);
}{
\draw[looseness=0.5,out=270,in=270] (#2) to (#3);
}
}
% scale, point
\newcommand{\topgenus}[2][0.5]{
\node at (#2) {
\begin{tikzpicture}[scale=#1, every node/.style={scale=#1}]
\draw (-2,.2) .. controls (-1.5,-0.3) and (-1,-0.5) .. (0,-.5) .. controls (1,-0.5) and (1.5,-0.3) .. (2,0.2);
\draw (-1.75,0) .. controls (-1.5,0.3) and (-1,0.5) .. (0,.5) .. controls (1,0.5) and (1.5,0.3) .. (1.75,0);
\end{tikzpicture}
};
}
\usepackage{setspace}
\renewcommand{\baselinestretch}{1.1}
......
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