\documentclass[11pt,notitlepage]{article}
\usepackage{amsmath, amssymb}
\usepackage{graphicx, stmaryrd, datetime, amscd, multicol, txfonts, ../../Projects/picins, mathabx, dbnsymb, tensor, needspace, ulem, mathtools, mathbbol, enumitem}
\usepackage[margin=0.25in,foot=0.2in]{geometry}
\usepackage[usenames,dvipsnames]{xcolor}
% Following http://tex.stackexchange.com/a/847/22475:
\usepackage[setpagesize=false]{hyperref}\hypersetup{colorlinks,
%\usepackage{hyperref}\hypersetup{colorlinks,
  linkcolor={blue!50!black},
  citecolor={blue!50!black},
  urlcolor=blue
}
\usepackage{pdfcomment}
\usepackage[all]{xy}
\usepackage{tikz}
\usepackage{insdljs,rangen}
\usepackage[greek,english]{babel}
% Cyrillic letters following http://tex.stackexchange.com/questions/14633/what-packages-will-let-me-use-cyrillic-characters-in-math-mode:
% ... a better solution at pensieve://2015-11/xtx/xtx.tex, except if fails here because of "too many fonts".
\usepackage[T2A,T1]{fontenc}
\makeatletter
\def\easycyrsymbol#1{\mathord{\mathchoice
  {\mbox{\fontsize\tf@size\z@\usefont{T2A}{\rmdefault}{m}{n}#1}}
  {\mbox{\fontsize\tf@size\z@\usefont{T2A}{\rmdefault}{m}{n}#1}}
  {\mbox{\fontsize\sf@size\z@\usefont{T2A}{\rmdefault}{m}{n}#1}}
  {\mbox{\fontsize\ssf@size\z@\usefont{T2A}{\rmdefault}{m}{n}#1}}
}}
\makeatother
\newcommand{\Zhe}{{\easycyrsymbol{\CYRZH}}}
\newcommand{\zhe}{{\easycyrsymbol{\cyrzh}}}

% Modified from http://tex.stackexchange.com/questions/37297/how-to-get-element-position-in-latex:
\usepackage{zref-user, zref-abspos}
\newwrite\posfile
\openout\posfile=\jobname.pos\relax
\makeatletter
\newcommand\dimtoin[1]{%
    \strip@pt\dimexpr 0.013837\dimexpr#1\relax\relax%
}
\makeatother

% From http://tex.stackexchange.com/questions/1429/latex-package-to-generate-qr-codes:
%\usepackage{pst-barcode}
%\usepackage{auto-pst-pdf}
% From http://tex.stackexchange.com/questions/89649/pgf-tikz-qr-code-generator
\usepackage[]{qrcode}

% \llangle and \rrangle from https://www.latex4technics.com/?note=2dg7:
\makeatletter
\newsavebox{\@brx}
\newcommand{\llangle}[1][]{\savebox{\@brx}{\(\m@th{#1\langle}\)}%
  \mathopen{\copy\@brx\kern-0.5\wd\@brx\usebox{\@brx}}}
\newcommand{\rrangle}[1][]{\savebox{\@brx}{\(\m@th{#1\rangle}\)}%
  \mathclose{\copy\@brx\kern-0.5\wd\@brx\usebox{\@brx}}}
\makeatother

\def\sheeturl{{\url{http://drorbn.net/AcademicPensieve/People/Afeke/}}}
\def\myurl{http://www.math.toronto.edu/~drorbn}
%\def\arXiv#1{{\qrcode[height=1em,level=L,nolink]{arxiv.org/abs/#1}\,\href{http://front.math.ucdavis.edu/#1}{arXiv:\linebreak[0]#1}}}
\def\arXiv#1{{\href{http://front.math.ucdavis.edu/#1}{arXiv:\linebreak[0]#1}}}
\def\bbs#1#2#3{{\href{http://drorbn.net/bbs/show?shot=#1-#2-#3.jpg}{BBS:\linebreak[0]#1-\linebreak[0]#2}}}

\write\posfile{Entries=List[}
\newcounter{entry}
\newcommand\entry[1]{\phantomsection\label{entry:#1}%
\stepcounter{entry}%
{\red\bf\tiny\strut\zsavepos{#1}\write\posfile{  Entry[\thepage, "#1", \dimtoin{\zposx{#1}sp}, \dimtoin{\zposy{#1}sp}],}%
#1}}
\newcommand\archived[1]{{\phantomsection\label{entry:#1}\bf\gray\tiny #1}}
\newcommand\refentry[1]{\hyperref[entry:#1]{{\small$\to$p\pageref*{entry:#1}:\bf #1}}}

%\paperwidth 8in \paperheight 10.5in
%\textwidth 8in \textheight 10.5in
%\oddsidemargin -0.75in \evensidemargin \oddsidemargin \topmargin -0.75in
%\headheight 0in \headsep 0in \footskip 0in
\parindent 0in
%\setlength{\topsep}{0pt}
%\pagestyle{empty}
\dmyydate

% Following http://tex.stackexchange.com/questions/23521/tabular-vertical-alignment-to-top:
\def\imagetop#1{\vtop{\null\hbox{#1}}}

\def\act{{\hspace{-1pt}\sslash\hspace{-0.75pt}}}
\def\ad{\operatorname{ad}}
\def\adj{\operatorname{adj}}
\def\Arg{\operatorname{Arg}}
\def\Aut{\operatorname{Aut}}
\def\attr{\operatorname{\mathfrak{tr}}}
\def\atdiv{\operatorname{div}}
\def\coker{\operatorname{coker}}
\def\crit{\operatorname{crit}}
\def\der{\operatorname{der}}
\def\Emb{\operatorname{Emb}}
\def\End{\operatorname{End}}
\def\Fun{\operatorname{Fun}}
\def\gr{\operatorname{gr}}
\def\GRT{\operatorname{GRT}}
\def\hgt{\operatorname{ht}}
\def\Hom{\operatorname{Hom}}
\def\Imm{\operatorname{Imm}}
\def\Inn{\operatorname{Inn}}
\def\mal{\operatorname{mal}}
\def\Mal{\operatorname{Mal}}
\def\Mat{\operatorname{Mat}}
\def\Mod{\operatorname{Mod}}
\def\mor{\operatorname{mor}}
\def\obj{\operatorname{obj}}
\def\Out{\operatorname{Out}}
\def\rad{\operatorname{rad}}
\def\Rker{\operatorname{Rker}}
\def\surjects{{\twoheadrightarrow}}
\def\wt{\operatorname{wt}}

\def\qed{{\hfill\text{$\Box$}}}
\def\remove{\!\setminus\!}
\def\FA{{F\!A}}
\def\FG{{F\!G}}
\def\FL{{F\!L}}
\def\St{S\!t}
\def\SL{{S\!L}}
\def\tr{\operatorname{tr}}

\def\sder{\operatorname{\mathfrak{sder}}}
\def\Span{\operatorname{span}}
\def\tder{\operatorname{\mathfrak{tder}}}
\def\uB{\text{\it u\!B}}
\def\uT{{u\calT}}
\def\vB{\text{\it v\!B}}
\def\vK{{v\calK}}
\def\vT{{v\calT}}
\def\wB{\text{\it w\!B}}
\def\wK{{w\calK}}
\def\wT{{w\calT}}
\def\PB{\text{\it P\!B}}
\def\PuB{\text{\it P\!u\!B}}
\def\PaB{\text{\it PaB}}
\def\PvB{\text{\it P\!v\!B}}
\def\PwB{\text{\it P\!w\!B}}

\def\bb1{{\mathbb 1}}
\def\bbA{{\mathbb A}}
\def\bbB{{\mathbb B}}
\def\bbC{{\mathbb C}}
\def\bbD{{\mathbb D}}
\def\bbe{\mathbb{e}}
\def\bbE{\mathbb{E}}
\def\bbH{{\mathbb H}}
\def\bbi{\mathbb{i}}
\def\bbK{{\mathbb K}}
\def\bbN{{\mathbb N}}
\def\bbO{{\mathbb O}}
\def\bbQ{{\mathbb Q}}
\def\bbR{{\mathbb R}}
\def\bbZ{{\mathbb Z}}
\def\calA{{\mathcal A}}
\def\calB{{\mathcal B}}
\def\calC{{\mathcal C}}
\def\calD{{\mathcal D}}
\def\calF{{\mathcal F}}
\def\calG{{\mathcal G}}
\def\calK{{\mathcal K}}
\def\calL{{\mathcal L}}
\def\calM{{\mathcal M}}
\def\calP{{\mathcal P}}
\def\calS{{\mathcal S}}
\def\calT{{\mathcal T}}
\def\calU{{\mathcal U}}
\def\calV{{\mathcal V}}
\def\calW{{\mathcal W}}
\def\calZ{{\mathcal Z}}
\def\fraka{{\mathfrak a}}
\def\frakb{{\mathfrak b}}
\def\frakg{{\mathfrak g}}
\def\frakh{{\mathfrak h}}
\def\frakl{{\mathfrak l}}
\def\frakn{{\mathfrak n}}
\def\frakt{{\mathfrak t}}
\def\krv{\mathfrak{krv}}
\def\RP{\bbR{\mathrm P}}

\def\eps{\epsilon}

\def\gray{\color{gray}}
\def\green{\color{green}}
\def\magenta{\color{magenta}}
\def\red{\color{red}}
\def\yellowm#1{{\setlength{\fboxsep}{0pt}\colorbox{yellow}{$#1$}}}
\def\yellowt#1{{\setlength{\fboxsep}{0pt}\colorbox{yellow}{#1}}}

\begin{document}
%\setlength{\jot}{0ex}
\setlength{\abovedisplayskip}{0.5ex}
\setlength{\belowdisplayskip}{0.5ex}
\setlength{\abovedisplayshortskip}{0ex}
\setlength{\belowdisplayshortskip}{0ex}

\parbox[b]{4.3in}{
  {\LARGE\bf Cheat Sheet Kirk-Livingston-Wang}
  }
\hfill\parbox[b]{3.4in}{\tiny
  \null\hfill\sheeturl
  \newline\null\hfill initiated March 18, 2020; modified \today, \ampmtime
}

\vskip -3mm
\rule{\textwidth}{1pt}
\vspace{-8mm}

\begin{multicols*}{2}

{\large\bf Log}

\entry{200318} In \bbs{Afeke}{200217}{145718}, write the intersection pairing, as defined in the bottom left, for the basis elements shown in the upper right. Read Kassel-Turaev section 3.2. Improve our meeting technology!

\end{multicols*}

\end{document}

\endinput