The Pontrjagin Dual of 3-Dimensional Spin Bordism
Algebraic Topology
2018-04-11 v2
Abstract
For each space X we define an explicit group, G(X), functorially in X. This group is constructed from the groups of cochains on X. Furthermore, we construct an explicit functorial pairing with values in R/Z between the cochain representatives for elements of G(X) and maps of closed 3-dimensional spin manifolds to X. This pairing induces a pairing between G(X) and the 3-dimensional spin bordism group of X and identifies each with the Pontrjagin dual of the other.
Keywords
Cite
@article{arxiv.1612.02860,
title = {The Pontrjagin Dual of 3-Dimensional Spin Bordism},
author = {Greg Brumfiel and John Morgan},
journal= {arXiv preprint arXiv:1612.02860},
year = {2018}
}
Comments
58 pages, two figures. v2 removes or corrects some statements in v1 not related to the main results