In previous work we analysed the algebra of observables of the initial data surface Σ2 for 2+1 de Sitter gravity, and constructed for genus 2 the group of automorphisms H of the homotopy group π1 induced by the mapping class group. The group H induces a group D of canonical transformations on the algebra of observables which is related to the braid group. Here all of the previous results are implemented for any genus and at the quantum level.
2+1 quantum gravity
NELSON, Jeanette Ethel;
1991-01-01
Abstract
In previous work we analysed the algebra of observables of the initial data surface Σ2 for 2+1 de Sitter gravity, and constructed for genus 2 the group of automorphisms H of the homotopy group π1 induced by the mapping class group. The group H induces a group D of canonical transformations on the algebra of observables which is related to the braid group. Here all of the previous results are implemented for any genus and at the quantum level.
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