8 citations · 23 across the 8 of their papers we have counts for
9 papers
Meromorphic open-string vertex algebras and twisted modules from Courant algebroids
Qixuan Fang, Fei Qi
We construct a sheaf of -graded meromorphic open-string vertex algebras from a transitive Courant algebroid equipped with a generalized metric and a chos…
Boson-fermion meromorphic open-string vertex algebras and their canonically twisted modules
Qixuan Fang, Yi-Zhi Huang, Fei Qi
We construct a -graded meromorphic open-string vertex algebra from a finite-dimensional vector space with a nondegenerate symmetric bilinear form, together wi…
First cohomologies of affine, Virasoro and lattice vertex operator algebras
Fei Qi
In this paper we study the first cohomologies for the following three examples of vertex operator algebras: (i) the simple affine VOA associated to a simple Lie algebra with positi…
Covariant derivatives of eigenfunctions along parallel tensors over space forms and a conjecture motivated by the vertex algebraic structure
Fei Qi
We study the covariant derivatives of an eigenfunction for the Laplace-Beltrami operator on a complete, connected Riemannian manifold with nonzero constant sectional curvature. We…
Meromorphic open-string vertex algebras and modules over two-dimensional orientable space forms
Fei Qi
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 secti…
On the cohomology of meromorphic open-string vertex algebras
Fei Qi
This paper generalizes Huang's cohomology theory of grading-restricted vertex algebras to meromorphic open-string vertex algebras (MOSVAs hereafter), which are noncommutative gener…
The first cohomology, derivations and the reductivity of a (meromorphic open-string) vertex algebra
Yi-Zhi Huang, Fei Qi
We give a criterion for the complete reducibility of modules satisfying a composability condition for a meromorphic open-string vertex algebra using the first cohomology of the…
On modules for meromorphic open-string vertex algebras
Fei Qi
We study representations of the meromorphic open-string vertex algebra (MOSVAs hereafter) defined in [H3], a noncommutative generalization of vertex (operator) algebra. We start by…
A motivated proof of the Göllnitz-Gordon-Andrews identities
Bud Coulson, Shashank Kanade, James Lepowsky +4
We present what we call a "motivated proof" of the Göllnitz-Gordon-Andrews identities. A similar motivated proof of the Rogers-Ramanujan identities was previously given by G. E. An…