Pith. sign in

REVIEW 2 cited by

Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1012.4198 v2 pith:XCZZYGBZ submitted 2010-12-19 math.QA hep-thmath.RT

Yi-Zhi Huang , James Lepowsky , Lin Zhang This is my paper
classification math.QAhep-thmath.RT
keywords tensorconditionsbifunctorscategorycompatibilityconstructionspartproduct
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

This is the fourth 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 IV), we give constructions of the P(z)- and Q(z)-tensor product bifunctors using what we call "compatibility conditions" and certain other conditions.

Discussion (0). Sign in to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. How are pseudo-$q$-traces related to (co)ends?

    math.QA 2025-08 conditional novelty 6.0 of 10

    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.

  2. A basis theorem for Genus-One Conformal Blocks and modular invariance of intertwining operators

    math.QA 2025-08 unverdicted novelty 6.0 of 10

    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.

Pith tools