The Group of Large Diffeomorphisms in General Relativity

Domenico Giulini

Banach Center Publications (1997)

  • Volume: 39, Issue: 1, page 303-315
  • ISSN: 0137-6934

Abstract

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We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.

How to cite

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Giulini, Domenico. "The Group of Large Diffeomorphisms in General Relativity." Banach Center Publications 39.1 (1997): 303-315. <http://eudml.org/doc/208669>.

@article{Giulini1997,
abstract = {We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.},
author = {Giulini, Domenico},
journal = {Banach Center Publications},
keywords = {mapping class groups; diffeomorphisms; 3-manifolds; gauge transformations; Yang-Mills theories},
language = {eng},
number = {1},
pages = {303-315},
title = {The Group of Large Diffeomorphisms in General Relativity},
url = {http://eudml.org/doc/208669},
volume = {39},
year = {1997},
}

TY - JOUR
AU - Giulini, Domenico
TI - The Group of Large Diffeomorphisms in General Relativity
JO - Banach Center Publications
PY - 1997
VL - 39
IS - 1
SP - 303
EP - 315
AB - We investigate the mapping class groups of diffeomorphisms fixing a frame at a point for general classes of 3-manifolds. These groups form the equivalent to the groups of large gauge transformations in Yang-Mills theories. They are also isomorphic to the fundamental groups of the spaces of 3-metrics modulo diffeomorphisms, which are the analogues in General Relativity to gauge-orbit spaces in gauge theories.
LA - eng
KW - mapping class groups; diffeomorphisms; 3-manifolds; gauge transformations; Yang-Mills theories
UR - http://eudml.org/doc/208669
ER -

References

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