225 lines
4.1 KiB
TeX
225 lines
4.1 KiB
TeX
% use XeLaTex to compile
|
|
\documentclass[12pt, twoside]{article}
|
|
|
|
|
|
\usepackage{amssymb}
|
|
\usepackage{amsmath}
|
|
\usepackage{advdate}
|
|
\usepackage{amsthm}
|
|
|
|
\usepackage[english]{babel}
|
|
|
|
\usepackage[margin=1 cm]{caption}
|
|
\usepackage{subcaption}
|
|
%\usepackage{cleveref} - after hyperref
|
|
\usepackage{comment}
|
|
\usepackage{csquotes}
|
|
|
|
\usepackage[useregional]{datetime2}
|
|
|
|
\usepackage{enumitem}
|
|
\usepackage{fontspec}
|
|
\usepackage{float}
|
|
|
|
\usepackage{graphicx}
|
|
\usepackage{hyperref}
|
|
\usepackage[nameinlink]{cleveref}
|
|
|
|
\usepackage{mathtools}
|
|
|
|
\usepackage{pict2e}
|
|
\usepackage[section]{placeins}
|
|
\usepackage[pdf]{pstricks}
|
|
|
|
%\usepackage{subcaption} % added after caption
|
|
\usepackage{tikz}
|
|
\usepackage{titlesec}
|
|
|
|
\usepackage{xfrac}
|
|
|
|
\usepackage{unicode-math}
|
|
|
|
|
|
|
|
\usetikzlibrary{cd}
|
|
|
|
\hypersetup{
|
|
colorlinks,
|
|
citecolor=black,
|
|
filecolor=black,
|
|
linkcolor=black,
|
|
urlcolor=black
|
|
}
|
|
|
|
\newtheoremstyle{break}
|
|
{\topsep}{\topsep}%
|
|
{\itshape}{}%
|
|
{\bfseries}{}%
|
|
{\newline}{}%
|
|
\theoremstyle{break}
|
|
|
|
\newtheorem{theorem}{Theorem}[section]
|
|
\newtheorem{lemma}[theorem]{Lemma}
|
|
\newtheorem{corollary}[theorem]{Corollary}
|
|
\newtheorem{proposition}[theorem]{Proposition}\newtheorem{example}[theorem]{Example}
|
|
\newtheorem{problem}[theorem]{Problem}
|
|
\newtheorem{definition}[theorem]{Definition}
|
|
|
|
\newcommand{\contradiction}{%
|
|
\ensuremath{{\Rightarrow\mspace{-2mu}\Leftarrow}}}
|
|
\newcommand*\quot[2]{{^{\textstyle #1}\big/_{\textstyle #2}}}
|
|
|
|
\newcommand{\overbar}[1]{%
|
|
\mkern 1.5mu=\overline{%
|
|
\mkern-1.5mu#1\mkern-1.5mu}%
|
|
\mkern 1.5mu}
|
|
|
|
\newcommand{\sdots}{\smash{\vdots}}
|
|
|
|
\DeclareRobustCommand\longtwoheadrightarrow
|
|
{\relbar\joinrel\twoheadrightarrow}
|
|
|
|
\newcommand{\longhookrightarrow}{\lhook\joinrel\longrightarrow}
|
|
\newcommand{\longhookleftarrow}{\longleftarrow\joinrel\rhook}
|
|
|
|
|
|
\AtBeginDocument{\renewcommand{\setminus}{%
|
|
\mathbin{\backslash}}}
|
|
|
|
|
|
\DeclareMathOperator{\Hom}{Hom}
|
|
\DeclareMathOperator{\rank}{rank}
|
|
\DeclareMathOperator{\coker}{coker}
|
|
\DeclareMathOperator{\ord}{ord}
|
|
\DeclareMathOperator{\ess}{ess}
|
|
\DeclareMathOperator{\mytop}{top}
|
|
\DeclareMathOperator{\Gl}{GL}
|
|
\DeclareMathOperator{\Sl}{SL}
|
|
\DeclareMathOperator{\Lk}{lk}
|
|
\DeclareMathOperator{\pt}{\{pt\}}
|
|
\DeclareMathOperator{\sign}{sign}
|
|
\DeclareMathOperator{\odd}{odd}
|
|
\DeclareMathOperator{\even}{even}
|
|
\DeclareMathOperator{\Diff}{Diff}
|
|
\DeclareMathOperator{\Iso}{Iso}
|
|
\DeclareMathOperator{\mcg}{MCG}
|
|
|
|
|
|
|
|
|
|
|
|
\titleformat{\subsection}{%
|
|
\normalfont \fontsize{12}{15}\bfseries}{%
|
|
}{.0ex plus .2ex}{}
|
|
\titleformat{\section}{%
|
|
\normalfont \fontsize{13}{15} \bfseries}{%
|
|
Lecture\ \thesection}%
|
|
{2.3ex plus .2ex}{}
|
|
\titlespacing*{\section}
|
|
{0pt}{16.5ex plus 1ex minus .2ex}{4.3ex plus .2ex}
|
|
|
|
|
|
\setlist[itemize]{topsep=0pt,before=%
|
|
\leavevmode\vspace{0.5em}}
|
|
|
|
|
|
\input{knots_macros}
|
|
\graphicspath{ {images/} }
|
|
|
|
|
|
\begin{document}
|
|
\tableofcontents
|
|
\newpage
|
|
%\input{myNotes}
|
|
|
|
\section{Basic definitions
|
|
\texorpdfstring{
|
|
\hfill \DTMdate{2019-02-25}}
|
|
{}}
|
|
\input{lec_25_02.tex}
|
|
|
|
\section{Alexander polynomial
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-03-04}}
|
|
{}}
|
|
\input{lec_04_03.tex}
|
|
%add Hurewicz theorem?
|
|
|
|
|
|
\section{Examples of knot classes
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-03-11}}
|
|
{}}
|
|
\input{lec_11_03.tex}
|
|
|
|
\section{Concordance group
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-03-18}}
|
|
{}}
|
|
\input{lec_18_03.tex}
|
|
|
|
\section{Genus
|
|
\texorpdfstring{$g$}{g}
|
|
cobordism
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-03-25}}
|
|
{}}
|
|
\input{lec_25_03.tex}
|
|
|
|
\section{
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-04-08}}
|
|
{}}
|
|
\input{lec_08_04.tex}
|
|
|
|
\section{Linking form
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-04-15}}
|
|
{}}
|
|
\input{lec_15_04.tex}
|
|
|
|
\section{
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-05-06}}
|
|
{}}
|
|
\input{lec_06_05.tex}
|
|
|
|
% no lecture at 13.05
|
|
%\section{\hfill\DTMdate{2019-05-20}}
|
|
%\input{lec_13_05.tex}
|
|
|
|
\section{
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-05-20}}
|
|
{}}
|
|
\input{lec_20_05.tex}
|
|
|
|
\section{
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-05-27}}
|
|
{}}
|
|
\input{lec_27_05.tex}
|
|
|
|
\section{
|
|
\texorpdfstring{
|
|
Surgery \hfill\DTMdate{2019-06-03}}
|
|
{}}
|
|
\input{lec_03_06.tex}
|
|
|
|
\section{Surgery
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-06-10}}
|
|
{}}
|
|
\input{lec_10_06.tex}
|
|
|
|
\section{Mess
|
|
\texorpdfstring{
|
|
\hfill\DTMdate{2019-06-17}}
|
|
{}}
|
|
\input{lec_mess.tex}
|
|
|
|
\end{document}
|
|
|
|
|
|
|