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\begin{document}

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\section*{Spin geometry}

\hypertarget{context}{}\subsubsection*{{Context}}\label{context}

\hypertarget{higher_spin_geometry}{}\paragraph*{{Higher spin geometry}}\label{higher_spin_geometry}

[[!include higher spin geometry - contents]]

This page collects links related to the book

\begin{itemize}%
\item [[H. Blaine Lawson]], [[Marie-Louise Michelsohn]]

\emph{Spin geometry}

Princeton University Press (1989)



\end{itemize}
on [[spin geometry]].

\hypertarget{contents}{}\section*{{Contents}}\label{contents}

\noindent\hyperlink{chapter_i_clifford_algebras_spin_groups_and_their_representations}{Chapter I Clifford algebras, Spin groups and Their Representations}\dotfill \pageref*{chapter_i_clifford_algebras_spin_groups_and_their_representations} \linebreak
\noindent\hyperlink{1_clifford_algebras}{1 Clifford algebras}\dotfill \pageref*{1_clifford_algebras} \linebreak
\noindent\hyperlink{2_the_group__and_}{2 The group $Pin$ and $Spin$}\dotfill \pageref*{2_the_group__and_} \linebreak
\noindent\hyperlink{3_the_algebras__and_}{3 The algebras $CL_n$ and $Cl_{r,s}$}\dotfill \pageref*{3_the_algebras__and_} \linebreak
\noindent\hyperlink{4_classification}{4 Classification}\dotfill \pageref*{4_classification} \linebreak
\noindent\hyperlink{5_representations}{5 Representations}\dotfill \pageref*{5_representations} \linebreak
\noindent\hyperlink{6_lie_algebra_structures}{6 Lie algebra structures}\dotfill \pageref*{6_lie_algebra_structures} \linebreak
\noindent\hyperlink{7_some_direct_applications_to_geometry}{7 Some direct applications to geometry}\dotfill \pageref*{7_some_direct_applications_to_geometry} \linebreak
\noindent\hyperlink{8_some_further_applications_to_the_theory_of_lie_groups}{8 Some further applications to the theory of Lie groups}\dotfill \pageref*{8_some_further_applications_to_the_theory_of_lie_groups} \linebreak
\noindent\hyperlink{9_ktheory_and_the_atiyahbottshapiro_construction}{9 K-Theory and the Atiyah-Bott-Shapiro construction}\dotfill \pageref*{9_ktheory_and_the_atiyahbottshapiro_construction} \linebreak
\noindent\hyperlink{10_krtheory_and_the_periodicity_theorem}{10 KR-theory and the $(1,1)$-Periodicity theorem}\dotfill \pageref*{10_krtheory_and_the_periodicity_theorem} \linebreak
\noindent\hyperlink{chapter_ii_spin_geometry_and_the_dirac_operator}{Chapter II Spin Geometry and the Dirac Operator}\dotfill \pageref*{chapter_ii_spin_geometry_and_the_dirac_operator} \linebreak
\noindent\hyperlink{1_spin_structures_on_vector_bundles}{1 Spin structures on vector bundles}\dotfill \pageref*{1_spin_structures_on_vector_bundles} \linebreak
\noindent\hyperlink{2_spin_manifolds_and_spin_cobordism}{2 Spin manifolds and Spin cobordism}\dotfill \pageref*{2_spin_manifolds_and_spin_cobordism} \linebreak
\noindent\hyperlink{3_clifford_and_spinor_bundle}{3 Clifford and spinor bundle}\dotfill \pageref*{3_clifford_and_spinor_bundle} \linebreak
\noindent\hyperlink{4_connection_on_spinor_bundle}{4 Connection on spinor bundle}\dotfill \pageref*{4_connection_on_spinor_bundle} \linebreak
\noindent\hyperlink{5_the_dirac_operators}{5 The Dirac operators}\dotfill \pageref*{5_the_dirac_operators} \linebreak
\noindent\hyperlink{6_the_fundamental_elliptic_operators}{6 The fundamental elliptic operators}\dotfill \pageref*{6_the_fundamental_elliptic_operators} \linebreak
\noindent\hyperlink{7_linear_dirac_operators}{7 $Cl_k$-linear Dirac operators}\dotfill \pageref*{7_linear_dirac_operators} \linebreak
\noindent\hyperlink{8_vanishing_theorems_and_some_applications}{8 Vanishing theorems and some applications}\dotfill \pageref*{8_vanishing_theorems_and_some_applications} \linebreak
\noindent\hyperlink{chapter_iii_index_theorems}{Chapter III Index Theorems}\dotfill \pageref*{chapter_iii_index_theorems} \linebreak
\noindent\hyperlink{chapter_iv_applications_in_geometry_and_topology}{Chapter IV Applications in Geometry and Topology}\dotfill \pageref*{chapter_iv_applications_in_geometry_and_topology} \linebreak


\hypertarget{chapter_i_clifford_algebras_spin_groups_and_their_representations}{}\subsection*{{Chapter I Clifford algebras, Spin groups and Their Representations}}\label{chapter_i_clifford_algebras_spin_groups_and_their_representations}

\hypertarget{1_clifford_algebras}{}\subsubsection*{{1 Clifford algebras}}\label{1_clifford_algebras}

\begin{itemize}%
\item [[Clifford algebra]]

\end{itemize}
\hypertarget{2_the_group__and_}{}\subsubsection*{{2 The group $Pin$ and $Spin$}}\label{2_the_group__and_}

\begin{itemize}%
\item [[spin group]]

\end{itemize}
\hypertarget{3_the_algebras__and_}{}\subsubsection*{{3 The algebras $CL_n$ and $Cl_{r,s}$}}\label{3_the_algebras__and_}

\hypertarget{4_classification}{}\subsubsection*{{4 Classification}}\label{4_classification}

\hypertarget{5_representations}{}\subsubsection*{{5 Representations}}\label{5_representations}

\begin{itemize}%
\item [[spin representation]]

\end{itemize}
\hypertarget{6_lie_algebra_structures}{}\subsubsection*{{6 Lie algebra structures}}\label{6_lie_algebra_structures}

\hypertarget{7_some_direct_applications_to_geometry}{}\subsubsection*{{7 Some direct applications to geometry}}\label{7_some_direct_applications_to_geometry}

\hypertarget{8_some_further_applications_to_the_theory_of_lie_groups}{}\subsubsection*{{8 Some further applications to the theory of Lie groups}}\label{8_some_further_applications_to_the_theory_of_lie_groups}

\hypertarget{9_ktheory_and_the_atiyahbottshapiro_construction}{}\subsubsection*{{9 K-Theory and the Atiyah-Bott-Shapiro construction}}\label{9_ktheory_and_the_atiyahbottshapiro_construction}

\begin{itemize}%
\item [[K-theory]]


\item [[Atiyah-Bott-Shapiro isomorphism]]



\end{itemize}
\hypertarget{10_krtheory_and_the_periodicity_theorem}{}\subsubsection*{{10 KR-theory and the $(1,1)$-Periodicity theorem}}\label{10_krtheory_and_the_periodicity_theorem}

\begin{itemize}%
\item [[KR-theory]]

\end{itemize}
\hypertarget{chapter_ii_spin_geometry_and_the_dirac_operator}{}\subsection*{{Chapter II Spin Geometry and the Dirac Operator}}\label{chapter_ii_spin_geometry_and_the_dirac_operator}

\hypertarget{1_spin_structures_on_vector_bundles}{}\subsubsection*{{1 Spin structures on vector bundles}}\label{1_spin_structures_on_vector_bundles}

\begin{itemize}%
\item [[spin structure]]

\end{itemize}
\hypertarget{2_spin_manifolds_and_spin_cobordism}{}\subsubsection*{{2 Spin manifolds and Spin cobordism}}\label{2_spin_manifolds_and_spin_cobordism}

\begin{itemize}%
\item [[spin cobordism]]

\end{itemize}
\hypertarget{3_clifford_and_spinor_bundle}{}\subsubsection*{{3 Clifford and spinor bundle}}\label{3_clifford_and_spinor_bundle}

\begin{itemize}%
\item [[Clifford bundle]]


\item [[spinor bundle]]



\end{itemize}
\hypertarget{4_connection_on_spinor_bundle}{}\subsubsection*{{4 Connection on spinor bundle}}\label{4_connection_on_spinor_bundle}

\begin{itemize}%
\item [[connection on a bundle]]


\item [[spin connection]]



\end{itemize}
\hypertarget{5_the_dirac_operators}{}\subsubsection*{{5 The Dirac operators}}\label{5_the_dirac_operators}

\begin{itemize}%
\item [[Dirac operator]]

\end{itemize}
\hypertarget{6_the_fundamental_elliptic_operators}{}\subsubsection*{{6 The fundamental elliptic operators}}\label{6_the_fundamental_elliptic_operators}

\begin{itemize}%
\item [[elliptic operator]]

\end{itemize}
\hypertarget{7_linear_dirac_operators}{}\subsubsection*{{7 $Cl_k$-linear Dirac operators}}\label{7_linear_dirac_operators}

\begin{itemize}%
\item [[fiber integration in K-theory]]


\item [[index]]



\end{itemize}
\hypertarget{8_vanishing_theorems_and_some_applications}{}\subsubsection*{{8 Vanishing theorems and some applications}}\label{8_vanishing_theorems_and_some_applications}

\hypertarget{chapter_iii_index_theorems}{}\subsection*{{Chapter III Index Theorems}}\label{chapter_iii_index_theorems}

\begin{itemize}%
\item [[index theory]]


\item [[index of a Dirac operator]]



\end{itemize}
\hypertarget{chapter_iv_applications_in_geometry_and_topology}{}\subsection*{{Chapter IV Applications in Geometry and Topology}}\label{chapter_iv_applications_in_geometry_and_topology}

\begin{itemize}%
\item [[spin geometry]]

\end{itemize}
category: reference



\end{document}