File talk:Moduli.png

\documentclass[]{article} \usepackage{amsmath} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{pstricks,pst-coil} \usepackage{graphicx} \definecolor{light}{rgb}{0,0.6,0.9} \definecolor{turquoise}{rgb}{0.03,0.91,0.87} %opening \title{} \author{} \begin{document} \begin{pspicture}(-6,-6)(6,6) \pscircle[linestyle=dotted](0,0){7.29} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Other pieces \psline[linecolor=blue](4.48,3.75)(5.02,3.9) \psdot[linecolor=blue,fillcolor=blue,dotsize=0.1,dotangle=-13,dotstyle=triangle](4.75,3.822) \psline[linecolor=blue](3.75,4.35)(3.75,4.85) \psdot[linecolor=blue,fillcolor=blue,dotsize=0.1,dotangle=60,dotstyle=triangle](3.751,4.6) \pscircle[linecolor=violet](3.75,3.6){0.75} \pscircle[linecolor=violet](3.75,5.2){0.35} \pscircle[linecolor=violet](5.35,4){0.35} \psline[linecolor=blue](3,3.6)(2.12,3.6) \psdot[linecolor=blue,fillcolor=blue,dotsize=0.1,dotangle=-33,dotstyle=triangle](2.56,3.6) \pscurve[linecolor=blue]{cc-cc}(-3.8,-1.69)(-3.5,-2.5)(-3,-2.45)(-2.5,-3.3)(-1.24,-4.07) \psdot[linecolor=blue,fillcolor=blue,dotsize=0.1,dotstyle=triangle,dotangle=90](-2.67,-3) \pscircle[linecolor=light](-4.5,-1){1} \psdot[linecolor=green,fillcolor=green,dotsize=0.1](1.1,-5.9) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](0.7,-3.25) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](0.7,-2.8) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](0.62,0.33) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](0.45,0.6) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](3.65,0.38) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](3.35,-0.67) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](5.33,1.71) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](5.97,2.27) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](5.15,3.92) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](4.36,3.7) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](3.775,4.2) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](3.16,3.6) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](2,3.6) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](3.775,4.96) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](1.08,7.05) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](-5.85,4.05) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](-3.9,-1.6) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](-1.1,-4.1) \psdot[linecolor=green,fillcolor=green,dotsize=0.1](-1.72,-6.95) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Middle Floer strip \pscircle[linecolor=violet](3.8,-1.27){0.65} \pspolygon*[linecolor=white,fillcolor=white](4.2,-1.71)(4.2,-0.85)(5,-0.1)(5,-2) \pscircle[linecolor=violet,linestyle=dotted](3.8,-1.27){0.65} \psellipse[linecolor=cyan](4.5,-1.27)(0.25,0.5) \pspolygon*[linecolor=white,fillcolor=white](4.5,-2)(4.5,2)(5,2)(5,-2) \psellipse[linecolor=cyan,linestyle=dashed](4.5,-1.27)(0.25,0.5) \pscurve[linecolor=light](0.135,0.025)(0.1,-0.45)(-1,-1)(-1,-1.7)(0.14,-2.5)(0.115,-3.01) \pscurve[linecolor=violet](0.98,0.88)(1.1,0.7)(3.75,0.5)(3.65,-0.5)(2,-1.5)(1.35,-2.5)(1.315,-3.01) \psdot[dotsize=0.1,linecolor=cyan,fillcolor=cyan](3.8,-1.27) \psellipse[linecolor=cyan](4.5,-1.27)(0.71,0.5) \pscurve[linecolor=blue](3.75,0.5)(3.8,0.56)(4.2,1.5) \pscurve[linecolor=blue](4.2,1.5)(4.7,1.52)(5.2,1.7) \pscurve[linecolor=blue]{-}(6.5,3.3)(6.15,2.8)(6,2.41) \psdot[dotsize=0.1](6.501,3.3) \psdot[dotsize=0.1,dotstyle=triangle,dotangle=35,linecolor=blue,fillcolor=blue](6.18,2.85) \psdot[dotsize=0.1,dotstyle=triangle,dotangle=-20,linecolor=blue,fillcolor=blue](4.7,1.515) \psdot[dotsize=0.1,dotstyle=triangle,dotangle=35,linecolor=blue,fillcolor=blue](4.015,1) \pscircle[linecolor=violet](5.735,1.9){0.6} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Top Floer strip %Right-hand boundary \pscurve[linecolor=violet]{-cc}(0.93,0.93)(0.91,1.4)(2,3)(2.12,4)(2,4.5)(1,6.2)(1.33,7.16) %Top boundary \pscurve[linecolor=turquoise]{cc-cc}(0.92,7.22)(0.45,6.4)(-0.65,6.46)(-1.5,6.4)(-2.5,6)(-3.5,5.4)(-4,5)(-4.5,4.5)(-5.93,4.23) %Left boundary \pscurve[linecolor=light]{cc-cc}(-6.15,3.9)(-5.5,3.8)(-5,3.6)(-3.5,1.5)(0,0.2)(0.09,0.075) %Mickey Mouse bubble tree \psellipse[linecolor=cyan](-1.2,3.5)(1,0.35) \pspolygon*[linecolor=white,fillcolor=white](-2.2,3.5)(-0.2,3.5)(-0.2,3.85)(-2.2,3.85) \psellipse[linecolor=cyan,linestyle=dashed](-1.2,3.5)(1,0.35) \pscircle[linecolor=cyan](-1.2,3.5){1} \pscircle*[linecolor=white,fillcolor=white](-0.5,4.5){0.5} \pscircle*[linecolor=white,fillcolor=white](-1.9,4.5){0.5} \pscircle[linecolor=cyan,linestyle=dotted](-1.2,3.5){1} \psdot[dotsize=0.1,linecolor=cyan,fillcolor=cyan](-1.2,2.51) \psdot[dotsize=0.1,linecolor=cyan,fillcolor=cyan](-0.8,4.11) \psdot[dotsize=0.1,linecolor=cyan,fillcolor=cyan](-1.6,4.12) \psellipse[linecolor=cyan](-0.5,4.5)(0.5,0.18) \pspolygon*[linecolor=white,fillcolor=white](-1,4.5)(0,4.5)(0,5)(-1,5) \psellipse[linecolor=cyan,linestyle=dashed](-0.5,4.5)(0.5,0.18) \psellipse[linecolor=cyan](-1.9,4.5)(0.5,0.18) \pspolygon*[linecolor=white,fillcolor=white](-2.4,4.5)(-1.4,4.5)(-1.4,5)(-2.4,5) \psellipse[linecolor=cyan,linestyle=dashed](-1.9,4.5)(0.5,0.18) \pscircle[linecolor=cyan](-0.5,4.5){0.5} \pscircle[linecolor=cyan](-1.9,4.5){0.5} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Bottom Floer strip \psline[linecolor=blue]{cc-cc}(1.1,-6.02)(1.1,-7.2) \psdot[linecolor=blue,fillcolor=blue,dotsize=0.1,dotstyle=triangle,dotangle=180](1.1,-6.61) \psdot[dotsize=0.1](1.1,-7.2) \pscurve[linecolor=violet]{cc-cc}(1.3,-3.06)(1.28,-3.5)(2,-4.1)(2.2,-4.7)(1.9,-5.5)(1.3,-6)(-0.5,-5.8)(-1.6,-7.11) \pscurve[linecolor=light](0.1,-3.0707107)(-0.15,-3.5)(-0.6,-3.5)(-1.2,-4)(-1.3,-5)(-1.2,-5.5)(-1.97,-7) \psellipse[linecolor=cyan](0.5,-4.7)(0.5,0.15) \pspolygon*[linecolor=white,fillcolor=white](0,-4.7)(1,-4.7)(1,-4.2)(0,-4.2) \psellipse[linecolor=cyan,linestyle=dashed](0.5,-4.7)(0.5,0.15) \pscircle[linecolor=cyan](0.5,-4.7){0.5} \psdot[dotsize=0.1,linecolor=cyan,fillcolor=cyan](0.12,-5) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Floer breaking \psset{coilheight=2,coilwidth=0.1} \pszigzag[coilarm=0,linewidth=0.5pt](0,0)(1,1) \pszigzag[coilarm=0,linewidth=0.5pt](0.05,-0.05)(1.05,0.95) %distance between zig-zags=0.0707107 \pszigzag[coilarm=0,linewidth=0.5pt](0,-3)(1.41421356237,-3) \pszigzag[coilarm=0,linewidth=0.5pt](0,-3.0707107)(1.41421356237,-3.0707107) %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Key \pspolygon(-10.2,-5.6)(-5,-5.6)(-5,-9.5)(-10.2,-9.5) \pszigzag[coilarm=0,linewidth=0.5pt](-10,-6)(-8.58578643763,-6) \pszigzag[coilarm=0,linewidth=0.5pt](-10,-6.0707107)(-8.58578643763,-6.0707107) \rput(-7.1,-6.035){\textup{Floer breaking}} \psline[linecolor=violet](-10,-6.5707107)(-8.58578643763,-6.5707107) \rput(-6.81,-6.5707107){$L=L_0=L_1=L_4$} \psline[linecolor=turquoise](-10,-7.0707107)(-8.58578643763,-7.0707107) \rput(-8.04,-7.0707107){$L_2$} \psline[linecolor=light](-10,-7.5707107)(-8.58578643763,-7.5707107) \rput(-8.04,-7.5707107){$L_3$} \psline[linecolor=blue](-10,-8.0707107)(-8.58578643763,-8.0707107) \psdot[linecolor=blue,fillcolor=blue,dotsize=0.1,dotstyle=triangle,dotangle=-90](-9.29289321881,-8.0707107) \rput(-6.95,-8.0707107){\textup{Morse trajectory}} \rput(-9.27,-8.5707107){$x_i$} \rput(-6.66,-8.5707107){\textup{Lagrangian $\pitchfork$-points}} \psdot[linecolor=green,fillcolor=green](-9.3,-9.0707107) \rput(-6.95,-9.0707107){$\partial$-\textup{marked points}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %Labels \rput(1.15,-7.45){$x_0$} \rput(-1.8,-7.3){$x_4$} \rput(-6.25,4.15){$x_3$} \rput(1.2,7.4){$x_2$} \rput(6.8,3.3){$x_1$} \rput(1,-1){$u_{v^+}$} \rput(5.78,1.88){$u_{v^-}$} \rput(4.55,1.15){$\gamma_e$} \rput(4.85,3.5){$\gamma_e$} \rput(4.1,4.55){$\gamma_e$} \rput(-2.55,-2.45){$\gamma_e$} \rput(2.56,3.9){$\gamma_e$} \end{pspicture} \end{document}