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

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.

This paper has been withdrawn because there is a gap in the construction of the canonical quadratic refinement on a mapping torus

References in corpus (3)

• Holographic Action for the Self-Dual Field
• Geometric quantization and the metric dependence of the self-dual field theory
• The Arf-Kervaire Invariant of framed manifolds

Cited by in corpus (4)

• The global anomaly of the self-dual field in general backgrounds
• Anomaly inflow and $p$-form gauge theories
• Some comments on 6d global gauge anomalies
• Global anomalies and chiral p-forms