# The Group of Large Diffeomorphisms in General Relativity

Banach Center Publications (1997)

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

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topGiulini, 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 -

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