The paper claims algebraic integrality of lattice entropy growth, but the proof has a critical gap, and the categorical entropy link is left as a conjecture.
A-infinity algebras, modules and functor categories
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abstract
In this survey, we first present basic facts on A-infinity algebras and modules including their use in describing triangulated categories. Then we describe the Quillen model approach to A-infinity structures following K. Lefevre's thesis. Finally, starting from an idea of V. Lyubashenko's, we give a conceptual construction of A-infinity functor categories using a suitable closed monoidal category of cocategories. In particular, this yields a natural construction of the bialgebra structure on the bar construction of the Hochschild complex of an associative algebra.
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cond-mat.stat-mech 1years
2025 1verdicts
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Statistical Mechanics and Categorical Entropy
The paper claims algebraic integrality of lattice entropy growth, but the proof has a critical gap, and the categorical entropy link is left as a conjecture.