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diff --git a/Master/texmf-dist/doc/latex/spectralsequences/examples/example_tmfmayss.tex b/Master/texmf-dist/doc/latex/spectralsequences/examples/example_tmfmayss.tex new file mode 100644 index 00000000000..c4041a6eb5e --- /dev/null +++ b/Master/texmf-dist/doc/latex/spectralsequences/examples/example_tmfmayss.tex @@ -0,0 +1,242 @@ +%% +%% Package: sseqpages.sty version 1.0 +%% Author: Hood Chatham +%% Email: hood@mit.edu +%% Date: 2017-06-18 +%% License: Latex Project Public License +%% +%% File: example_tmfmayss.tex +%% +%% I got this from Mike Hill's note: https://pdfs.semanticscholar.org/ddbb/8d584e4e81a71400088117b16cd241238c6c.pdf +%% + + + +\documentclass{article} +\usepackage[landscape,left=1cm]{geometry} +\usepackage{spectralsequences} +\begin{document} +\sseqset{htwostructstyle/.sseq style = {gray,very thin, run off=-}} +%\pgfkeys{/sseqpages/struct line/htwostructstyle/.show code} + + +\NewSseqCommand\twods{ O{} U( r() m m }{ + \def\temp{#1,#2,#3,#4,#5} + \getdtarget\target#2{#3} % Store the target position in \target + \nameclass{source}(#3) % naming the classes gives us a speed boost + \nameclass{target1}(\target,#4) % by preventing sseqpages from reparsing the coordinate + \nameclass{target2}(\target,#5) % it also makes the code easier to read +% + \circleclasses[ differential style, #1, + name path = circ, page = #2--#2 ] + (target1)(target2) % Circle the classes, use differential style +% + \d[invisible]#2(source)(target1) % don't draw anything, but record source and targets as hit. + \d[invisible]#2(source)(target2) +% + \path(target1)--(target2) + coordinate[midway](midpt);% put a coordinate in the center of the two classes + \path[name path = lin] (source) -- (midpt);% save path from start to midpoint +% + % draw line in "differential style" from start to intersection point of circ and lin + \draw[ differential style, #1, page constraint= { \page == #2 }, + name intersections = { of = circ and lin } ] + (source) -- (intersection-1); +} + + +\NewSseqCommand \tower { O{} d() } { + \IfNoValueF{#2}{ + \pushstack(#2) + } + \savestack + \edef\towermax{\the\numexpr9-\lasty0} + \begin{scope}[#1] + \foreach\i in {1,...,\towermax}{ + \class(\lastx,\lasty+1) + \structline(\lastclass1)(\lastclass) + } + \end{scope} + \restorestack +} + +\NewSseqCommand\honetower {O{}} { + \savestack + \begin{scope}[#1] + \edef\towermax{\the\numexpr9-\lasty0} + \foreach\i in {1,...,\towermax}{ + \class(\lastx+1,\lasty+1) + \structline(\lastclass1)(\lastclass) + } + \end{scope} + \restorestack +} + +\NewSseqCommand\htwo { O{} d() } { + \IfNoValueF{#2}{ + \pushstack(#2) + } + \class[#1](\lastx+3,\lasty+1) + \structline[htwostructstyle](\lastclass1)(\lastclass) +} + +\NewSseqCommand \htwotower { O{} d() } { + \IfNoValueF{#2}{ + \pushstack(#2) + } + \edef\towermax{\the\numexpr-\lasty+8} + \begin{scope}[#1] + \gettag\thetag(\lastclass) + \class(\lastx+3,\lasty+1) + \structline[htwostructstyle](\lastclass)(\lastclass1) + \savestack + \foreach\i in {1,...,\towermax}{ + \class(\lastx,\lasty+1) + \structline(\lastclass1)(\lastclass) + \structline[htwostructstyle](\lastx-3,\lasty-1,\thetag)(\lastclass) + } + \restorestack + \end{scope} +} + + +\NewSseqCommand\dtower {u(u)} { + \foreach\i in {0,...,10}{ + \d[yshift=\i]#1(#2) + } +} + +\begin{sseqdata}[name=tmfmayss,y range={0}{8}, x range={0}{25}, classes=fill, class labels={below=3pt},degree={-1}{1},differentials=blue, + class pattern=linear, classes={ tooltip = {(\xcoord,\ycoord)} }, xscale=0.8, + title = {Page \page}, + run off differentials = -> +] +\class[tag= h0^i](0,0) \tower[tag=h0^i] +\honetower \classoptions["h_1"](1,1) + +\htwotower[tag=h0^i h2] +\classoptions["h_2"](3,1) +\htwotower[tag=h0^i h2^2] +\htwotower[tag=h0^i h2^3] +\htwotower[tag=h0^i h2^4] +\htwotower[tag=h0^i h2^5] +\htwotower[tag=h0^i h2^6] +\htwotower[tag=h0^i h2^7] +\htwotower[tag=h0^i h2^8] +\htwo%\htwotower[tag=h0^i h2^9] + + +\class["b_{20}",name=b20,tag=h1^i b20](4,2) +\tagclass{h0^i b20}(4,2) +\honetower[tag=h1^i b20] +\tower[tag=h0^i b20] +\class["x_7",tag=h0^i x7,name=x7](7,2) \honetower +\htwotower[tag=h0^i x7](b20) +\structline(\lastclass)(x7) % h0 x7 = h2 b20 + + +\class["b_{21}", tag=h0^i b21,name=b21](10,2) +\honetower[tag=h1^i b21] +%\structline(\lastclass)(h2^2 b20) % h2 (h0 x7) = h2 (h2 b20) + +\htwotower[tag=h0^i b21](x7) +\structline(b21)(\lastclass) + + + +\htwotower[tag=h0^i h2 b21](b21) +\htwotower[tag=h0^i h2^2 b21] +\htwotower[tag=h0^i h2^3 b21] +\htwotower[tag=h0^i h2^4 b21] +\htwotower[tag=h0^i h2^5 b21] +\htwotower[tag=h0^i h2^6 b21] + +\class["b_{30}",tag=h1^i b30](12,2) +\tagclass{h0^i b30}(12,2) +\tower[tag=h0^i b30]\honetower[tag=h1^i b30] +\htwotower[tag=h0^i h2 b30] +\htwotower[tag=h0^i h2^2 b30] +\htwotower[tag=h0^i h2^3 b30] +\htwotower[tag=h0^i h2^4 b30] +\htwotower[tag=h0^i h2^5 b30] + + + +% + +\class[tag=h0^i x7^2](14,4) +\classoptions["x_7^2",page=0--3](\lastclass) +\classoptions["d",page=4--100](\lastclass) +\tower[tag=h0^i x7^2] \honetower + +\htwotower[tag=h0^i h2 x7^2] +\htwotower[tag=h0^i h2^2 x7^2] +\htwotower[tag=h0^i h2^3 x7^2] +\htwotower[tag=h0^i h2^4 x7^2] +\htwo%\htwotower[tag=h0^i h2^5 x7^2] + + +\class["b_{20}^2",tag=h0^i b_{20}^2](8,4) +\tower[tag=h0^i b_{20}^2] +\honetower +\htwotower[tag=h0^i h2 b_{20}^2] +\htwotower[tag=h0^i h2^2 b_{20}^2] +\htwotower[tag=h0^i h2^3 b_{20}^2] +\htwotower[tag=h0^i h2^4 b_{20}^2] +\htwo%\htwotower[tag=h0^i h2^5, b_{20}^2] + +\class[tag=h0^i b21^2](20,4) +\classoptions["b_{21}^2",page=0--3](\lastclass) +\classoptions["g",page=4--100](\lastclass) +\honetower +\tower[tag=h0^i b21^2] + +\htwotower[tag=h0^i h2 b21^2] +\htwotower[tag=h0^i h2^2 b21^2] + +\class["b_{30}^2",tag=h0^i b30^2](24,4) +\tower[tag=h0^i b30^2] +\honetower +\htwotower +%\htwotower[tag=h0^i h2^3 b21^2] + + + +\twods3(4,2,-1){1}{2} % d3(b20) = h1^3 + h0^2 h2 +\replaceclass[offset={(0,0)}](3,3) +\structline(3,2)(3,3) +\structline(2,2)(3,3) +\structline[htwostructstyle](0,2)(3,3) + +\foreach\y in {3,...,8} {\d3(4,\y,-1,-1)} % d3( h0^i b20 ) = h0^{2+i} h2 +\foreach\n in {3,...,8} {\d3(2+\n,\n,h1^i b20,1)} % d3(h1^i b20) = h1^{3+i} +\foreach \y in {2,...,8} {\d3(7,\y,h0^i x7,h0^i h2^2)} + +\foreach \y in {2,...,8} {\d3(10,\y,h0^i b21,h0^i h2^3)} + +\foreach \y in {3,...,8} {\d3(13,\y, h0^i h2 b21 ,h0^i h2^4)} +\foreach \y in {3,...,7} {\d3(16,\y+1,h0^i h2^2 b21,h0^i h2^5)} +\foreach \y in {3,...,6} {\d3(19,\y+2,h0^i h2^3 b21,h0^i h2^6)} +\foreach \y in {3,...,5} {\d3(22,\y+3,h0^i h2^4 b21,h0^i h2^7)} +\foreach \y in {3,...,4} {\d3(25,\y+4,h0^i h2^5 b21,h0^i h2^8)} + +\foreach \n in {0,...,6} {\d3(12+\n,2+\n,h1^i b30,h1^i b21)} + +\foreach \n in {0,...,4} {\d5(24,4+\n,-1,-1)} + + +\classoptions[page=4--100,"c_0"](8,3) +\classoptions[page=4--100,"a"](12,3) +\classoptions[page=4--100,"b"](15,3) + + + +\end{sseqdata} +\printpage[name=tmfmayss,page=2] +\newpage +\printpage[name=tmfmayss,page=3] +\newpage +\printpage[name=tmfmayss,page=5] +\newpage +\printpage[name=tmfmayss,page=8,title={Page $\infty$}] +\end{document}
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