2 problems

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The conjecture that the canonical Lie algebra is always \mathfrak u(2)
Let $(M,g,J)$ be a compact strong torsion hyperHermitian structure, and suppose that the vector field $V$ from Theorem is nonzero. The vector fields $V$ , $IV$ , $JV$ , and $KV$ span…
Conjectureopendifferential-geometry hyperhermitian-geometry string-geometryarXiv posted 2 days ago
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Witten's conjecture on the loop-space Dirac index and Witten genus
Let $X$ be a String manifold, so that its loop-space bundle admits a lift of its structure group from $\mathcal{L}\mathrm{Spin}_n$ to its universal central extension. Consider a hy…
Conjectureopenequivariant-index string-geometry witten-genusarXiv posted 2 days ago

The conjecture that the canonical Lie algebra is always \mathfrak u(2)