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arXiv · 1208.1540

Canonical quadratic refinements of cohomological pairings from functorial lifts of the Wu class

Samuel Monnier
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Abstract

As mentioned in the comments, the proposed construction of the canonical quadratic refinement on a mapping torus contains a gap. In addition, the claim in the appendix that the spin cobordism group vanishes in dimensions 4k+3 is incorrect, although it does vanish for the case of dimension 7, relevant for physics.

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Samuel Monnier. 2014-02-18. Canonical quadratic refinements of cohomological pairings from functorial lifts of the Wu class. https://arxiv.org/abs/1208.1540

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