- Oggetto:
An Introduction to Spin Geometry
- Oggetto:
An Introduction to Spin Geometry
- Oggetto:
Academic year 2017/2018
- Teacher
- Ioannis Chrysikos
- Type
- Basic
- Delivery
- Formal authority
- Language
- Italian
- Attendance
- Obligatory
- Oggetto:
Sommario del corso
- Oggetto:
Program
-Clifford algebras and spin groups (introduction)-Spin representations and the Clifford multiplication, examples.-Spin structure, examples.-Theory of connections on fibre bundles, the spin connection on the spinor bundle-Dirac operators (definition and basic properties)-Further properties of the Dirac operator, the Schrödinger-Lichnerowicz formula,-The Twistor operator and conformal invariance,-Twistor and Killing spinors, parallel spinors on Riemannian spin manifolds,-Spin Riemannian manifolds admitting real Killing spinors, the cone-construction of Bär.-Connections with skew-torsion, Dirac operator with torsion.Suggested readings and bibliography
- Oggetto:
