4 papers
On strong identities of almost-canonically seminormed rings
Xu Gao, Jianqi Liu
We investigate the strong identity condition (SIC) for almost-canonically seminormed rings, a class of topological graded rings that includes enveloping algebras of vertex operator…
A basis theorem for Genus-One Conformal Blocks and modular invariance of intertwining operators
Xu Gao, Jianqi Liu
We prove that trace functions associated to intertwining operators over a strongly rational vertex operator algebra form a global frame of the conformal block bundle $\mathscr{C}_{…
Twisted restricted conformal blocks of vertex operator algebras II: twisted restricted conformal blocks on totally ramified orbicurves
Xu Gao, Jianqi Liu, Yiyi Zhu
In this paper, we introduce a notion of twisted restricted conformal blocks on totally ramified orbicurves and establish an isomorphism between the space of twisted restricted conf…
Twisted restricted conformal blocks of vertex operator algebras I: -twisted correlation functions and fusion rules
Xu Gao, Jianqi Liu, Yiyi Zhu
In this paper, we introduce a notion of -twisted restricted conformal block on the three-pointed twisted projective line associat…