2 problems

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Higher $10/8$ conjecture for aspherical four-manifolds
Let $M$ be a compact aspherical smooth four-manifold with even-type intersection form. Write $\chi(M)$ for its Euler characteristic and $\sigma(M)$ for its signature. Higher $10/8$ …
Conjectureopenaspherical-manifolds four-manifolds l-2-invariantsarXiv posted 2 days ago
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Equality of normalized torsion limits with the $L^2$ -torsion
The normalized torsion-limit conjecture. Even in this case, there is no proof that the $L^2$ -torsion equals either of the above limits. The surrounding discussion explains that suc…
Conjectureopenfinite-coverings l-2-invariants torsionarXiv posted 2 days ago

Higher 10/810/810/8 conjecture for aspherical four-manifolds