2 problems

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Kwan–Wen ratio conjecture for 3+1D L-type topological orders
Let $M^4$ be a closed four-dimensional spacetime manifold, and let $Z_1^\text{top}(M^4)$ and $Z_2^\text{top}(M^4)$ be two 3+1D topological partition functions. Write $\chi(M^4)$ fo…
Conjectureopentopological-orders topological-partition-functionsarXiv posted 2 days ago
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Vanishing partition function conjecture for emergent fermions on non-spin manifolds
Let $M^d$ be an orientable spacetime manifold, and let $Z^\text{top}(M^d)$ denote the volume-independent partition function of a local bosonic model. A model has an emergent fermio…
Conjectureopenspin-structures topological-orders topological-partition-functionsarXiv posted 2 days ago

Kwan–Wen ratio conjecture for 3+1D L-type topological orders