Differential geometry on the space of connections via graphs and projective limits

@article{Ashtekar1995DifferentialGO,
  title={Differential geometry on the space of connections via graphs and projective limits},
  author={Abhay Ashtekar and Jerzy Lewandowski},
  journal={Journal of Geometry and Physics},
  year={1995},
  volume={17},
  pages={191-230}
}
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References

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Abstract The Segal–Bargmann transform plays an important role in quantum theories of linear fields. Recently, Hall obtained a non-linear analog of this transform for quantum mechanics on Lie groups.
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Integral calculus on the space of gauge equivalent connections is developed. Loops, knots, links and graphs feature prominently in this description. The framework is well--suited for quantization of
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Quantization of diffeomorphism invariant theories of connections is studied and the quantum diffeomorphism constraint is solved. The space of solutions is equipped with an inner product that is shown
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