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Holonomies and the group of loops / 1：

Loop coordinates and the extended group of loops / 2：

The loop representation / 3：

Maxwell theory / 4：

Yang-Mills theories / 5：

Lattice techniques / 6：

Quantum gravity / 7：

The loop representation of quantum theory / 8：

Loop representation: further developments / 9：

Knot theory and physical states of quantum gravity / 10：

The extended loop representation of quantum gravity / 11：

Conclusions: present status and outlook / 12：

References

Index

Holonomies and the group of loops / 1：

Loop coordinates and the extended group of loops / 2：

The loop representation / 3：

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Introduction

The Unconnected Manifold / Part I：

Invariance / 1：

Integrals / 2：

Affinely Connected Manifold / Part II：

Invariant derivatives / 3：

Some relations between ordinary and invariant derivatives / 4：

The notion of parallel transfer / 5：

The curvature tensor / 6：

The geodesics of an affine connexion / 7：

The general geometrical hypothesis about gravitation / 8：

Metrically Connected Manifold / Part III：

Metrical affinities / 9：

The meaning of the metric according to the special theory of relativity / 10：

Conservation laws and variational principles / 11：

Generalizations of Einstein's theory / 12：

Introduction

The Unconnected Manifold / Part I：

Invariance / 1：