• Corpus ID: 250408114

# On the extensions of the left modules for a meromorphic open-string vertex algebra, I

@inproceedings{Qi2022OnTE,
title={On the extensions of the left modules for a meromorphic open-string vertex algebra, I},
author={Fei Qi},
year={2022}
}
• Fei Qi
• Published 8 July 2022
• Mathematics
We study the extensions of two left modules W1,W2 for a meromorphic open-string vertex algebra V . We show that the extensions satisfying some technical but natural convergence conditions are in bijective correspondence to the first cohomology classes associated to the V bimodule HN (W1,W2) constructed in [HQ]. When V is grading-restricted and contains a nice vertex subalgebra V0, those convergence conditions hold automatically. In addition, we show that the dimension of Ext(W1,W2) is bounded…
1 Citations
• Yi-Zhi Huang
• Mathematics
Chinese Annals of Mathematics, Series B
• 2022
Convergence and analytic extension are of fundamental importance in the mathematical construction and study of conformal field theory. The author reviews some main convergence results, conjectures

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This paper generalizes Huang's cohomology theory of grading-restricted vertex algebras to meromorphic open-string vertex algebras (MOSVAs hereafter), which are noncommutative generalizations of
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We show that if V is a vertex operator algebra such that all the irreducible ordinary V -modules are $$C_1$$ C 1 -cofinite and all the grading-restricted generalized Verma modules for V are of finite
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We study the meromorphic open-string vertex algebras and their modules over the two-dimensional Riemannian manifolds that are complete, connected, orientable, and of constant sectional curvature
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