Geometric Methods for Quantum Field Theory Book

	Introduction
Lecture 1	Introduction to differentiable manifolds and symplectic geometry	1
Lecture 2	Spectral properties of the Dirac operator and geometrical structures	116
Lecture 3	Quantum theory of fermion systems: Topics between physics and mathematics	170
Lecture 4	Heat equation and spectral geometry: Introduction for beginners	238
Lecture 5	Renormalized traces as a geometric tool	293
Lecture 6	Concepts in gauge theory leading to electric-magnetic duality	361
Lecture 7	An introduction to Seiberg-Witten theory	421
	Remarks on duality, analytic torsion and gaussian integration in antisymmetric field theories	451
	Multiplicative anomaly for the [zeta]-regularized determinant	467
	On cohomogeneity one Riemannian manifolds	483
	A differentiable calculus on the space of loops and connections	489
	Quantum Hall conductivity and topological invariants	498
	Determinant of the Dirac operator over the interval [0,[beta]]	509