172 lines
3.5 KiB
TeX
172 lines
3.5 KiB
TeX
% use XeLaTex to compile
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\documentclass[12pt, twoside]{article}
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\usepackage{amssymb}
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\usepackage{amsmath}
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\usepackage{advdate}
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\usepackage{amsthm}
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\usepackage[english]{babel}
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\usepackage{caption}
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\usepackage{comment}
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\usepackage{csquotes}
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\usepackage[useregional]{datetime2}
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\usepackage{enumitem}
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\usepackage{fontspec}
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\usepackage{float}
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\usepackage{graphicx}
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\usepackage{hyperref}
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\usepackage{mathtools}
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\usepackage{pict2e}
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\usepackage[section]{placeins}
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\usepackage[pdf]{pstricks}
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\usepackage{tikz}
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\usepackage{titlesec}
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\usepackage{xfrac}
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\usepackage{unicode-math}
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\usetikzlibrary{cd}
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\hypersetup{
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colorlinks,
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citecolor=black,
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filecolor=black,
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linkcolor=black,
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urlcolor=black
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}
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\newtheoremstyle{break}
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{\topsep}{\topsep}%
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{\itshape}{}%
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{\bfseries}{}%
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{\newline}{}%
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\theoremstyle{break}
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\newtheorem{lemma}{Lemma}[section]
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\newtheorem{fact}{Fact}[section]
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\newtheorem{corollary}{Corollary}[section]
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\newtheorem{proposition}{Proposition}[section]
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\newtheorem{example}{Example}[section]
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\newtheorem{problem}{Problem}[section]
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\newtheorem{definition}{Definition}[section]
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\newtheorem{theorem}{Theorem}[section]
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\newcommand{\contradiction}{%
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\ensuremath{{\Rightarrow\mspace{-2mu}\Leftarrow}}}
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\newcommand*\quot[2]{{^{\textstyle #1}\big/_{\textstyle #2}}}
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\newcommand{\overbar}[1]{%
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\mkern 1.5mu=\overline{%
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\mkern-1.5mu#1\mkern-1.5mu}%
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\mkern 1.5mu}
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\newcommand{\sdots}{\smash{\vdots}}
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\DeclareRobustCommand\longtwoheadrightarrow
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{\relbar\joinrel\twoheadrightarrow}
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\newcommand{\longhookrightarrow}{\lhook\joinrel\longrightarrow}
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\newcommand{\longhookleftarrow}{\longleftarrow\joinrel\rhook}
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\AtBeginDocument{\renewcommand{\setminus}{%
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\mathbin{\backslash}}}
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\DeclareMathOperator{\Hom}{Hom}
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\DeclareMathOperator{\rank}{rank}
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\DeclareMathOperator{\coker}{coker}
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\DeclareMathOperator{\ord}{ord}
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\DeclareMathOperator{\ess}{ess}
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\DeclareMathOperator{\mytop}{top}
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\DeclareMathOperator{\Gl}{GL}
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\DeclareMathOperator{\Sl}{SL}
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\DeclareMathOperator{\Lk}{lk}
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\DeclareMathOperator{\pt}{\{pt\}}
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\DeclareMathOperator{\sign}{sign}
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\DeclareMathOperator{\odd}{odd}
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\DeclareMathOperator{\even}{even}
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\titleformat{\subsection}{%
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\normalfont \fontsize{12}{15}\bfseries}{%
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}{.0ex plus .2ex}{}
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\titleformat{\section}{%
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\normalfont \fontsize{13}{15} \bfseries}{%
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Lecture\ \thesection}%
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{2.3ex plus .2ex}{}
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\titlespacing*{\section}
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{0pt}{16.5ex plus 1ex minus .2ex}{4.3ex plus .2ex}
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\setlist[itemize]{topsep=0pt,before=%
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\leavevmode\vspace{0.5em}}
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\input{knots_macros}
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\graphicspath{ {images/} }
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\begin{document}
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\tableofcontents
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%\newpage
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%\input{myNotes}
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\section{Basic definitions \hfill\DTMdate{2019-02-25}}
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\input{lec_25_02.tex}
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\section{Alexander polynomial \hfill\DTMdate{2019-03-04}}
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\input{lec_04_03.tex}
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%add Hurewicz theorem?
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\section{Examples of knot classes
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\hfill\DTMdate{2019-03-11}}
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\input{lec_11_03.tex}
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\section{Concordance group \hfill\DTMdate{2019-03-18}}
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\input{lec_18_03.tex}
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\section{Genus $g$ cobordism \hfill\DTMdate{2019-03-25}}
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\input{lec_25_03.tex}
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\section{\hfill\DTMdate{2019-04-08}}
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\input{lec_08_04.tex}
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\section{Linking form\hfill\DTMdate{2019-04-15}}
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\input{lec_15_04.tex}
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\section{\hfill\DTMdate{2019-05-06}}
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\input{lec_06_05.tex}
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\section{\hfill\DTMdate{2019-05-20}}
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\input{lec_20_05.tex}
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\section{\hfill\DTMdate{2019-05-27}}
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\input{lec_27_05.tex}
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\section{Surgery \hfill\DTMdate{2019-06-03}}
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\input{lec_03_06.tex}
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\section{Surgery\hfill\DTMdate{2019-06-03}}
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\input{lec_10_06.tex}
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\end{document}
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