String orientations of simplicial homology manifolds

Details String orientations of simplicial homology manifolds String orientations of simplicial homology manifolds

2008-07-11

arxiv.org/abs/0807.1911v2

Advances in Theoretical and Mathematical Physics 14 (2010) 1- 10

Mathematics

Algebraic Topology

Everybody talks about the differential structure on space-time, but nobody ever does anything about it

Scientific paper

Simplicial homology manifolds are proposed as an interesting class of geometric objects, more general than topological manifolds but still quite tractable, in which questions about the microstructure of space-time can be naturally formulated. Their string orientations are classified by $H^3$ with coefficients in an extension of the usual group of D-brane charges, by cobordism classes of homology three-spheres with trivial Rokhlin invariant.

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