3 problems

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Trialgebra reconstruction conjecture for quantum groups and Donaldson–Floer theory
A trialgebra is an algebraic structure with three compatible algebraic operations, as envisioned here for constructing four-dimensional topological quantum field theories. Trialgeb…
Conjectureopenquantum-groups topological-quantum-field-theory trialgebrasarXiv posted 2 days ago
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Commutativity of reconfiguration and presentation conjecture for operads
Let $\mathcal{P}$ be a symmetric operad over $\mathbb{F}$ , let $\Omega=\{\omega_1,\dots,\omega_m\}$ be multilinear operations in $\mathcal{P}$ , and let $\mathcal{P}_\Omega$ be the…
Conjectureopendialgebras operads trialgebrasarXiv posted 2 days ago
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Universal enveloping triassociative algebra conjecture for Lie trialgebras
Let $F\colon \mathbf{TriAss} \to \mathbf{TriLie}$ be the functor obtained from the operations in Lemma, sending a triassociative algebra to its associated Lie trialgebra. For a Lie…
Conjectureopenoperads trialgebras universal-enveloping-algebrasarXiv posted 2 days ago

Trialgebra reconstruction conjecture for quantum groups and Donaldson–Floer theory