From the 1 of 10 linked papers with an AI index.
10 papers
Trace maps on chiral Clifford algebras for the rank two fermionic vertex operator superalgebra
A. Zuevsky
For a holomorphic vector bundle of rank on a smooth Riemann surface we construct a trace map on the chiral homology of the chiral Clifford algebra $\CE$ attached to the…
The first chiral homology group in higher genus
A. Zuevsky
We extend the theory of the first chiral homology group of vertex algebras, developed by van Ekeren and Heluani for elliptic curves, to compact Riemann surfaces of arbitrary genus.…
Multiple products of meromorphic functions
A. Zuevsky
The paper builds a family of extended coboundary operators on meromorphic functions tied to an infinite‑dimensional Lie algebra via Schottky uniformization of Riemann surfaces, and…
Vertex operator algebra bundles on Riemann surfaces of higher genus and automorphic forms for Fuchsian groups
A. Zuevsky
We generalize the geometric construction of vertex operator algebra (VOA) bundles and their associated automorphic forms from the elliptic modular curve to arbitrary Fuchsian group…
Cohomology of multipoint connections on complex curves
A. Zuevsky
Given complex functions on complex curves satisfying recursion relations with respect to the number of marked points at which they are evaluated, we construct a cohomology theory g…
Cohomology of Jacobi forms
A. Zuevsky
We define and study a cohomology theory for the space of Jacobi -point functions generated by a vertex operator (super)algebra, using precise analogues of Zhu's reduction formul…