Abstract
In this paper a cobordism theory for line bundles over oriented manifolds, with $w_{2}(\mathrm{Base})=w_{1}^{2}(\mathrm{bundle})$, is studied. The cobordism groups $\Lambda_{n}$ are computed. A homomorphism $$\Lambda_{n} \rightarrow \Omega_{n}^{S_{pin}}(Z_{2})$$ is given, and it is shown that this is a monomorphism mod torsion.
Citation
V. Giambalvo. "Cobordism of line bundles with a relation." Illinois J. Math. 17 (3) 442 - 449, September 1973. https://doi.org/10.1215/ijm/1256051610
Information
