247 |
247 |
248 |
248 |
249 % figures |
249 % figures |
250 |
250 |
251 \newcommand{\mathfig}[2]{\ensuremath{\hspace{-3pt}\begin{array}{c}% |
251 \newcommand{\mathfig}[2]{\ensuremath{\hspace{-3pt}\begin{array}{c}% |
252 \raisebox{-2.5pt}{\includegraphics[width=#1\textwidth]{diagrams/#2}}% |
252 \raisebox{-2.5pt}{\includegraphics[width=#1\textwidth]{#2}}% |
253 \end{array}\hspace{-3pt}}} |
253 \end{array}\hspace{-3pt}}} |
254 |
254 |
255 |
255 |
256 % packages |
256 % packages |
257 |
257 |
258 \usepackage{tikz} |
258 \usepackage{tikz} |
259 \usetikzlibrary{shapes} |
259 %\usetikzlibrary{shapes} |
260 \usetikzlibrary{backgrounds} |
260 %\usetikzlibrary{backgrounds} |
261 \usetikzlibrary{decorations,decorations.pathreplacing} |
261 %\usetikzlibrary{decorations,decorations.pathreplacing} |
262 \usetikzlibrary{fit,calc,through} |
262 %\usetikzlibrary{fit,calc,through} |
263 |
263 |
264 \usepackage[all,color]{xy} |
264 \usepackage[all,color]{xy} |
265 \SelectTips{cm}{} |
265 \SelectTips{cm}{} |
266 |
266 |
267 \usepackage[pdftex,plainpages=false,hypertexnames=false,pdfpagelabels]{hyperref} |
267 \usepackage[pdftex,plainpages=false,hypertexnames=false,pdfpagelabels]{hyperref} |
1354 %% \caption{Almost Sharp Front}\label{afoto} |
1354 %% \caption{Almost Sharp Front}\label{afoto} |
1355 %% \end{figure} |
1355 %% \end{figure} |
1356 |
1356 |
1357 |
1357 |
1358 \begin{figure} |
1358 \begin{figure} |
1359 \centering |
1359 \begin{equation*} |
1360 \begin{tikzpicture}[%every label/.style={green} |
1360 \mathfig{0.18}{figure1} |
1361 ] |
1361 \end{equation*} |
1362 \node[fill=black, circle, label=below:$E$, inner sep=1.5pt](S) at (0,0) {}; |
|
1363 \node[fill=black, circle, label=above:$E$, inner sep=1.5pt](N) at (0,2) {}; |
|
1364 \draw (S) arc (-90:90:1); |
|
1365 \draw (N) arc (90:270:1); |
|
1366 \node[left] at (-1,1) {$B_1$}; |
|
1367 \node[right] at (1,1) {$B_2$}; |
|
1368 \end{tikzpicture} |
|
1369 \caption{Combining two balls to get a full boundary.}\label{blah3}\end{figure} |
1362 \caption{Combining two balls to get a full boundary.}\label{blah3}\end{figure} |
1370 |
|
1371 \begin{figure} |
|
1372 \centering |
|
1373 \begin{tikzpicture}[%every label/.style={green}, |
|
1374 x=1.5cm,y=1.5cm] |
|
1375 \node[fill=black, circle, label=below:$E$, inner sep=2pt](S) at (0,0) {}; |
|
1376 \node[fill=black, circle, label=above:$E$, inner sep=2pt](N) at (0,2) {}; |
|
1377 \draw (S) arc (-90:90:1); |
|
1378 \draw (N) arc (90:270:1); |
|
1379 \draw (N) -- (S); |
|
1380 \node[left] at (-1/4,1) {$B_1$}; |
|
1381 \node[right] at (1/4,1) {$B_2$}; |
|
1382 \node at (1/6,3/2) {$Y$}; |
|
1383 \end{tikzpicture} |
|
1384 \caption{From two balls to one ball.}\label{blah5}\end{figure} |
|
1385 |
1363 |
1386 \begin{figure} |
1364 \begin{figure} |
1387 \begin{equation*} |
1365 \begin{equation*} |
1388 \mathfig{.23}{ncat/zz2} |
1366 \mathfig{0.14}{figure2} |
|
1367 \end{equation*} |
|
1368 \caption{From two balls to one ball.}\label{blah5}\end{figure} |
|
1369 |
|
1370 \begin{figure} |
|
1371 \begin{equation*} |
|
1372 \mathfig{.23}{zz2} |
1389 \end{equation*} |
1373 \end{equation*} |
1390 \caption{A small part of $\cell(W)$.} |
1374 \caption{A small part of $\cell(W)$.} |
1391 \label{partofJfig} |
1375 \label{partofJfig} |
1392 \end{figure} |
1376 \end{figure} |
1393 |
1377 |
1394 \begin{figure} |
1378 \begin{figure} |
1395 %$$\mathfig{.4}{deligne/manifolds}$$ |
1379 %$$\mathfig{.4}{deligne/manifolds}$$ |
1396 $$\mathfig{.4}{deligne/mapping-cylinders}$$ |
1380 $$\mathfig{.4}{mapping-cylinders}$$ |
1397 \caption{An $n$-dimensional surgery cylinder.}\label{delfig2} |
1381 \caption{An $n$-dimensional surgery cylinder.}\label{delfig2} |
1398 \end{figure} |
1382 \end{figure} |
1399 |
1383 |
1400 |
1384 |
1401 %% For Tables, put caption above table |
1385 %% For Tables, put caption above table |