nLab
Spin geometry
Contents
Context
Higher spin geometry
This page collects links related to the book
on spin geometry.
Contents
Chapter I Clifford algebras, Spin groups and Their Representations
1 Clifford algebras
2 The group $Pin$ and $Spin$
3 The algebras $CL_n$ and $Cl_{r,s}$
4 Classification
5 Representations
6 Lie algebra structures
7 Some direct applications to geometry
8 Some further applications to the theory of Lie groups
9 K-Theory and the Atiyah-Bott-Shapiro construction
10 KR-theory and the $(1,1)$-Periodicity theorem
Chapter II Spin Geometry and the Dirac Operator
1 Spin structures on vector bundles
2 Spin manifolds and Spin cobordism
3 Clifford and spinor bundle
4 Connection on spinor bundle
5 The Dirac operators
6 The fundamental elliptic operators
7 $Cl_k$-linear Dirac operators
8 Vanishing theorems and some applications
Chapter III Index Theorems
Chapter IV Applications in Geometry and Topology
Last revised on April 26, 2020 at 10:34:44.
See the history of this page for a list of all contributions to it.