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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.12402 |
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Table of Contents:
- Building upon the construction of a Cayley calibration adapted to a complex structure, we introduce a calibration $Φ$ in $\bigwedge^8 \mathbf R^{16}$ with $|Φ^2| = 294$. This enables us to show that the product of two orthogonally supported calibrations is not necessarily a calibration, thereby providing a negative answer to a question posed by Federer. Dadok and Harvey developed a general method for constructing calibrations as outer products of two unit spinors in the Clifford algebra. We show that $Φ$ arises from the product of two spinors with norm $1$ and $\sqrt{2}$.