Topological gravity in Minkowski space

Details Topological gravity in Minkowski space Topological gravity in Minkowski space

2004-07-07

arxiv.org/abs/math/0407104v2

Mathematics

Algebraic Topology

Talk at the 2^o Congreso Latino-Americano de M\'atematicos, Cancun, Quintana Roo, M\'exico; 24 July 2004; updated, with some m

Scientific paper

The two-category with three-manifolds as objects, h-cobordisms as morphisms, and diffeomorphisms of these as two-morphisms, is extremely rich; from the point of view of classical physics it defines a nontrivial topological model for general relativity. A rather striking amount of work on pseudoisotopy theory [Hatcher, Waldhausen, Cohen-Carlsson-Goodwillie-Hsiang-Madsen...] can be formulated as a (generalized) TQFT in this framework. The resulting theory is far from trivial even in the case of Minkowski space, when the relevant three-manifold is the standard sphere.

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