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Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition
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This is the fifth 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 V), we study products and iterates of intertwining maps and of logarithmic intertwining operators and we begin the development of our analytic approach.
Forward citations
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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