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The Superspace of geometrodynamics

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  • Published: 14 February 2009
  • Volume 41, pages 785–815, (2009)
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The Superspace of geometrodynamics
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  • Domenico Giulini1 

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Abstract

Wheeler’s Superspace is the arena in which Geometrodynamics takes place. I review some aspects of its geometrical and topological structure that Wheeler urged us to take seriously in the context of canonical quantum gravity.

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Acknowledgments

I thank Hermann Nicolai and Stefan Theisen for inviting me to this stimulating 405th WE-Heraeus-Seminar on Quantum Gravity and for giving me the opportunity to contribute this paper. I also thank Hermann Nicolai for pointing out [63] and Ulrich Pinkall for pointing out [53].

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  1. Max-Planck-Institute for Gravitational Physics (Albert-Einstein-Institute), Am Mühlenberg 1, 14476, Potsdam OT Golm, Germany

    Domenico Giulini

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Correspondence to Domenico Giulini.

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I dedicate this contribution to the scientific legacy of John Wheeler.

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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Giulini, D. The Superspace of geometrodynamics. Gen Relativ Gravit 41, 785–815 (2009). https://doi.org/10.1007/s10714-009-0771-4

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  • Received: 19 January 2009

  • Accepted: 24 January 2009

  • Published: 14 February 2009

  • Issue Date: April 2009

  • DOI: https://doi.org/10.1007/s10714-009-0771-4

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Keywords

  • Quantum gravity
  • Superspace
  • Three-manifolds
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