28 citations · 31 across the 5 of their papers we have counts for
5 papers
Spanning sets for Moebius vertex algebras satisfying arbitrary difference conditions
Geoffrey Buhl, Gizem Karaali
Spanning sets for vertex operator algebras satisfying difference-zero and difference-one conditions have been extensively studied in the recent years. In this paper, we extend thes…
Ordered spanning sets for vertex operator algebras and their modules
Geoffrey Buhl
Moonshine relates three fundamental mathematical objects: the Monster sporadic simple group, the modular function j, and the moonshine module vertex operator algebra. Examining the…
Ordered spanning sets for quasimodules for Mobius vertex algebras
Geoffrey Buhl
Quasimodules for vertex algebras are generalizations of modules for vertex algebras. These new objects arise from a generalization of locality for fields. Quasimodules tie together…
Rationality, Regularity, and C_2-cofiniteness
T. Abe, G. Buhl, C. Dong
We demonstrate that, for CFT vertex operator algebras, C_2-cofiniteness and rationality is equivalent to regularity. In addition, we show that, for C_2-cofinite vertex operators al…
A spanning set for VOA modules
Geoffrey Buhl
We develop a spanning set for weak modules of C_2 co-finite vertex operator algebras. This spanning set has finiteness properties that we use to show weak modules are C_n co-finite…