On the selection rules for spin Lorentz cobordisms

A recent result of Gibbons and Hawking on the existence of spin-Lorentz cobordisms is applied to the class of 3-manifolds that can support a non-negative scalar curvature metric. We call such manifolds admissible. It is shown how in general the existence of a spin-Lorentz cobordism restricts the number-mod-2 of certain prime manifolds to occur in the prime decomposition, which are explicitly listed in the case of admissible manifolds.

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Real Tunneling Geometries and the Large Scale Topology of the Universe

G.W. Gibbons
(
- Cambridge U.
)
,
J.B. Hartle
(
- UC, Santa Barbara
)

- Phys.Rev.D 42 (1990) 2458-2468
•
DOI:
- 10.1103/PhysRevD.42.2458

- Compt.Rend.Hebd.Seances Acad.Sci.A 257 7

- Bull.London Math.Soc. 20 65