4 problems

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Burghelea–Haller conjecture for the torsion quadratic form
Burghelea–Haller conjecture. The equality
Conjecturesolvedanalytic-torsion differential-geometry flat-vector-bundlesarXiv posted 2 days ago
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The vanishing conjecture for complex valued Ray–Singer torsion
Vanishing conjecture. We have
Conjecturesolvedanalytic-torsion flat-vector-bundles ray-singer-torsionarXiv posted 2 days ago
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Ray–Singer conjecture for unitary flat vector bundles
Let $M$ be a closed Riemannian manifold and let $F\to M$ be a flat complex vector bundle with a hermitian metric. The Ray–Singer metric is the product of the Ray–Singer analytic to…
Conjecturesolvedanalytic-torsion flat-vector-bundles riemannian-geometryarXiv posted 2 days ago
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Cappell–Miller conjecture on torsion and Reidemeister torsion
Cappell–Miller conjecture. The Cappell–Miller torsion satisfies
Conjecturesolvedanalytic-torsion flat-vector-bundles reidemeister-torsionarXiv posted 2 days ago

Burghelea–Haller conjecture for the torsion quadratic form