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Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps
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This is the seventh part in a series of papers in which we introduce and develop a natural, general tensor category theory for suitable module categories for a vertex (operator) algebra. In this paper (Part VII), we give sufficient conditions for the existence of the associativity isomorphisms.
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Cited by 2 Pith papers
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How are pseudo-$q$-traces related to (co)ends?
The pseudo-q-trace construction is shown to be the same, through the sewing-factorization theorem, as the categorical end over the module category, proving conjectures of Gainutdinov-Runkel and Arike-Nagatomo.
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A basis theorem for Genus-One Conformal Blocks and modular invariance of intertwining operators
Trace functions of intertwining operators form a global frame of genus-one conformal blocks, yielding a uniform proof of modular invariance for rational vertex operator algebras.
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