Building blocks for topology change in 3 D
نویسنده
چکیده
We investigate topology change in 3D. Using Morse theory and handle decomposition we find the set of elementary cobordisms for 3-manifolds. These are: (i) Ø ↔ S 2 ; (ii) Σ g ↔ Σ g+1 ; (iii) Σ g 1 ⊔ Σ g 2 ↔ Σ g 1 +g 2 , and they have appealing physical interpretations, e.g. Big Bang/Big Crunch, wormhole creation/annihilation and Einstein-Rosen bridge cre-ation/annihilation, respectively. This decomposition into building blocks can be used in the path integral approach to quantum gravity in the sum over topologies.
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