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{
"cells": [
{
"cell_type": "code",
"metadata": {},
"outputs": [],
"source": [
"from pseudowalls import *"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"Chern Character:\\begin{array}{l} \\mathrm{ch}_{0} = 1 \\\\ \\mathrm{ch}_{1} = 0 \\ell^{1} \\end{array}"
],
"text/plain": [
"<pseudowalls.chern_character.Chern_Char object at 0x7ff55f6a1c30>"
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"O = Chern_Char(1,0)\n",
"O"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"Chern Character:\\begin{array}{l} \\mathrm{ch}_{0} = 1 \\\\ \\mathrm{ch}_{1} = 1 \\ell^{1} \\end{array}"
],
"text/plain": [
"<pseudowalls.chern_character.Chern_Char object at 0x7ff55f6a1840>"
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"O1 = exponential_chern(1,1)\n",
"O1"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"Chern Character:\\begin{array}{l} \\mathrm{ch}_{0} = 1 \\\\ \\mathrm{ch}_{1} = -1 \\ell^{1} \\end{array}"
],
"text/plain": [
"<pseudowalls.chern_character.Chern_Char object at 0x7ff55f6a2680>"
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"O1inv = exponential_chern(-1,1)\n",
"O1inv"
]
},
{
"cell_type": "code",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/latex": [
"Chern Character:\\begin{array}{l} \\mathrm{ch}_{0} = 1 \\\\ \\mathrm{ch}_{1} = 2 \\ell^{1} \\end{array}"
],
"text/plain": [
"<pseudowalls.chern_character.Chern_Char object at 0x7ff55f6a2a10>"
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"O2 = O1 * O1\n",
"O2"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"Chern Character:\\begin{array}{l} \\mathrm{ch}_{0} = 0 \\\\ \\mathrm{ch}_{1} = 1 \\ell^{1} \\end{array}"
],
"text/plain": [
"<pseudowalls.chern_character.Chern_Char object at 0x7ff55f6a2d10>"
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"O_x = Chern_Char(0,1)\n",
"O_x"
]
},
{
"cell_type": "code",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 21 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_central_charge(chern, name, argument = None, radius = None):\n",
" Z = stability.Mumford().central_charge(chern)\n",
" x = Z.real()\n",
" y = Z.imag()\n",
" \n",
" if not argument:\n",
" argument = arctan(y/x) if x != 0 else pi / 2\n",
" if argument <= 0:\n",
" argument += pi\n",
" \n",
" if not radius:\n",
" radius = (pi-argument/2)/pi\n",
" \n",
" return point(\n",
" Z,\n",
" marker = \"o\",\n",
" size = 600,\n",
" rgbcolor = \"white\",\n",
" #markeredgecolor = \"purple\",\n",
" zorder = 100\n",
" ) + point(\n",
" Z,\n",
" marker = name,\n",
" size = 500,\n",
" rgbcolor = \"red\",\n",
" zorder = 101\n",
" ) + line(\n",
" (0, Z),\n",
" rgbcolor = \"red\",\n",
" linestyle = \"dashed\",\n",
" zorder = 99\n",
" ) + disk(\n",
" (0,0),\n",
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" (0, float(argument)),\n",
" alpha=.2,\n",
" fill=False,\n",
" thickness=1,\n",
" rgbcolor=\"purple\"\n",
" )\n",
"\n",
"p = sum(\n",
" plot_central_charge(chern, name)\n",
" for chern, name in [\n",
" (O1, r\"$\\mathcal{O}(1)$\"),\n",
" (O, r\"$\\mathcal{O}_X$\"),\n",
" (O1inv, r\"$\\mathcal{O}(-1)$\"),\n",
" (O2, r\"$\\mathcal{O}(2)$\"),\n",
" (O_x, r\"$\\mathcal{O}_p$\")\n",
" ]\n",
")\n",
"\n",
"xmax = (2.5)\n",
"xmin = (-2.5)\n",
"ymin = (-0.25)\n",
"ymax = (1.5)\n",
"aspect_ratio = (1)\n",
"\n",
"p += polygon(\n",
" [\n",
" (xmax + 1,0),\n",
" (xmin - 1,0),\n",
" (xmin - 1,ymax + 1),\n",
" (xmax + 1,ymax + 1)\n",
" ],\n",
" rgbcolor = \"yellow\",\n",
" alpha = 0.2,\n",
" zorder = 102\n",
")\n",
"\n",
"p.xmax(xmax)\n",
"p.xmin(xmin)\n",
"p.ymin(ymin)\n",
"p.ymax(ymax)\n",
"p.set_aspect_ratio(aspect_ratio)\n",
"\n",
"p.axes_labels([r\"$\\mathcal{R}$\",r\"$\\mathcal{I}$\"])\n",
"p.show()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "50d8265f",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 4 graphics primitives"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_central_charge(O, r\"$\\mathcal{O}_X$\", radius = 0.9)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "1cfa37b3",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"Graphics object consisting of 4 graphics primitives"
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_central_charge(-O, r\"$\\mathcal{O}_X[1]$\", argument=3*pi/2, radius = 0.9)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "8149044b",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 5 graphics primitives"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_central_charge(O, r\"$\\mathcal{O}_X[2]$\", argument=2*pi, radius = 0.9) + \\\n",
"disk(\n",
" (0,0),\n",
" 0.9,\n",
" (0, float(pi/2)),\n",
" alpha=.4,\n",
" fill=False,\n",
" thickness=1,\n",
" rgbcolor=\"purple\"\n",
")"
]
},
{
"cell_type": "code",
"id": "4af73988",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"Graphics object consisting of 7 graphics primitives"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xmin = -3\n",
"xmax = 1\n",
"\n",
"mu = -1\n",
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") + text(\n",
"r\"\"\"$\\beta = \\mu(E)$\n",
"$\\mathfrak{Im}(\\mathcal{Z}_{\\alpha,\\beta}(E)) = 0$\"\"\",\n",
" (mu, -0.25),\n",
" fontsize = \"large\",\n",
" rgbcolor = \"black\"\n",
") + text(\n",
"r\"\"\"$\\longleftarrow$\n",
"$\\mathrm{Coh}(X) \\leftarrow \\mathcal{B}^\\beta$\"\"\",\n",
" (-2.5,1),\n",
" fontsize = \"large\"\n",
") + text(\n",
"r\"\"\"$E \\in \\mathcal{B}^\\beta$\n",
"$\\mathfrak{Im}(\\mathcal{Z}_{\\alpha,\\beta}(E)) \\geq 0$\"\"\",\n",
" (-1.5,1),\n",
" fontsize = \"large\"\n",
") + text(\n",
"r\"\"\"$E[1] \\in \\mathcal{B}^\\beta$\n",
"$\\mathfrak{Im}(\\mathcal{Z}_{\\alpha,\\beta}(E)) < 0$\"\"\",\n",
" (-0.5,1),\n",
" fontsize = \"large\",\n",
" rgbcolor = \"red\"\n",
") + polygon(\n",
" [\n",
" (mu,0),\n",
" (xmin,0),\n",
" (xmin,ymax),\n",
" (mu,ymax)\n",
" ],\n",
" rgbcolor = \"blue\",\n",
" alpha = 0.1,\n",
" zorder = 102\n",
") + polygon(\n",
" [\n",
" (xmax,0),\n",
" (mu,0),\n",
" (mu,ymax),\n",
" (xmax,ymax)\n",
" ],\n",
" rgbcolor = \"orange\",\n",
" alpha = 0.1,\n",
" zorder = 102\n",
")\n",
"\n",
"p.axes_labels([r\"$\\beta$\",r\"$\\alpha$\"])\n",
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 5 graphics primitives"
]
},
"metadata": {},
"v = Chern_Char(1,0,-1)\n",
"u = Chern_Char(1,1,-3)\n",
"\n",
"ts = stability.Tilt()\n",
"mu = stability.Mumford().slope\n",
"\n",
" ts.wall_eqn(u,v)/ts.alpha == 0,\n",
" (ts.beta, -5, 5),\n",
" (ts.alpha, 0, 5),\n",
") + implicit_plot(\n",
" ts.degree(v) == 0,\n",
" (ts.beta, -5, 5),\n",
" (ts.alpha, 0, 5),\n",
" rgbcolor = \"red\",\n",
" linestyle = \"dotted\",\n",
") + implicit_plot(\n",
" ts.degree(u) == 0,\n",
" (ts.beta, -5, 5),\n",
" (ts.alpha, 0, 5),\n",
") + line(\n",
" [(mu(v),0),\n",
" (mu(v),5)],\n",
" rgbcolor = \"red\",\n",
" legend_label = \"Potential destabilizer\",\n",
") + line(\n",
" [(mu(u),0),\n",
" (mu(u),5)],\n",
" legend_label = \"Fixed $v$ who's repr. obj. destabilized\",\n",
")\n",
"\n",
"p.tick_label_color(\"white\")\n",
"p.show()"
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},
{
"cell_type": "code",
"execution_count": 67,
"id": "8f0ee2d7",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"execution_count": 67,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_range = 4\n",
"v = Chern_Char(2,0,-1,1)\n",
"lam = stability.Lambda(s=1/3)\n",
"Theta = lam.rank(v)\n",
"Gamma = lam.degree(v)\n",
"mu = stability.Mumford().slope(v)\n",
"p = (\n",
"implicit_plot(Theta, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range))\n",
"+ implicit_plot(Gamma, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range), rgbcolor=\"green\")\n",
"+ line([(mu,0),(mu,plot_range)], rgbcolor = \"red\")\n",
"+ text(r\"$\\beta=\\mu$\", (mu, -0.5), fontsize=\"x-large\", rgbcolor=\"red\")\n",
"+ text(r\"$\\nu = 0$\", (mu-1, -0.5), fontsize=\"x-large\", rgbcolor=\"blue\")\n",
"+ text(r\"$\\lambda = 0$\", (mu+2, -0.5), fontsize=\"x-large\", rgbcolor=\"green\")\n",
")\n",
"p.tick_label_color(\"white\")\n",
"p.ymin(0)\n",
"p"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "4b66636a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"Graphics object consisting of 6 graphics primitives"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_range = 4\n",
"v = Chern_Char(2,0,-1,1/2)\n",
"lam = stability.Lambda(s=1/3)\n",
"Theta = lam.rank(v)\n",
"Gamma = lam.degree(v)\n",
"mu = stability.Mumford().slope(v)\n",
"p = (\n",
"implicit_plot(Theta, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range))\n",
"+ implicit_plot(Gamma, (lam.beta, -plot_range,plot_range), (lam.alpha, 0, plot_range), rgbcolor=\"green\")\n",
"+ line([(mu,0),(mu,plot_range)], rgbcolor = \"red\")\n",
"+ text(r\"$\\beta=\\mu$\", (mu, -0.5), fontsize=\"x-large\", rgbcolor=\"red\")\n",
"+ text(r\"$\\nu = 0$\", (mu+1, -0.5), fontsize=\"x-large\", rgbcolor=\"blue\")\n",
"+ text(r\"$\\lambda = 0$\", (mu-1.5, -0.5), fontsize=\"x-large\", rgbcolor=\"green\")\n",
")\n",
"p.tick_label_color(\"white\")\n",
"p.ymin(0)\n",
"p"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "SageMath 9.7",
"language": "sage",
"name": "sagemath"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}