FormalGeomNotes/main.tex at master · ecpeterson/FormalGeomNotes · GitHub

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\documentclass[final]{cambridge7A}

\input{preamble}

% if these change, be sure to update the pdf metadata in preamble.tex
\title[Lecture Notes]{Formal Geometry and Bordism Operations}
\author{Eric Peterson}
% \date{{\footnotesize Compiled: \today \\ Git hash: {\gitAbbrevHash}{\gitDirty}}}
\copyrightline{%
Copyright {\textcopyright} 2015--2025 Eric Peterson \\
This is derived from a pre-publication draft.
The full version is available on the Cambridge University Press website.
Any reproduction, in whole or in part, requires written permission.
}


\begin{document}

\bookabstract{%
We present various results in algebraic topology, primarily stemming from operations in bordism homology, in a unifying framework coming from algebraic geometry, primarily stemming from formal schemes.
This includes introductory presentations of chromatic homotopy theory and of elliptic cohomology.
}
\bookkeywords{
55-01, % classroom textbook
55N22, % bordism homology
55N34, % elliptic homology
55P47, % infinite loopspaces
55R45, % homotopy and homology of BO, BU, ...
55S05, % primary operations
55S45, % Postnikov towers
55T15  % the Adams SS
}

\frontmatter

\maketitle

\include{preface}


\clearpage
\tableofcontents


\mainmatter

\include{intro}

\include{conventions}

\renewcommand\chaptername{Case Study}

\include{mo}

\include{quillen}

\include{finite}

\include{cooperations}

\include{sigma}


\appendix

\include{powerops}

\include{unknowns}

\endappendix
\addtocontents{toc}{\vspace{\baselineskip}}


\backmatter

\renewcommand{\refname}{Bibliography}
\renewcommand\bibsection{\chapter*{\refname}}
\cleardoublepage
\phantomsection
\addcontentsline{toc}{chapter}{\refname}
\bibliographystyle{alpha}
\bibliography{main}


\cleardoublepage
\phantomsection
\printindex


\end{document}