### Added draft of the lectures from the second RTG day.

parent 1627ea30
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img/2.png 0 → 100644

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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}[]{ \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}[]{ \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}[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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