String orientations of simplicial homology manifolds

DOI10.4310/ATMP.2010.V14.N3.A7zbMATH Open1229.81249arXiv0807.1911MaRDI QIDQ646474

Jack Morava

Publication date: 17 November 2011

Published in: Advances in Theoretical and Mathematical Physics (Search for Journal in Brave)

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/0807.1911

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (2)

String homology, and closed geodesics on manifolds which are elliptic spaces ⋮ The Stasheff model of a simply-connected manifold and the string bracket

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