39 citations · 122 across the 37 of their papers we have counts for
40 papers
Azumaya descent and étale-local cyclotomic comparison: a noncommutative filtration
Hông Vân Lê, Alexander Zuevsky
Bhatt-Morrow-Scholze motivic filtration on topological Hochschild homology () is extended to Azumaya algebras over quasisyntomic rings. We prove the Azumaya descent theorem: $…
Modular properties of affine \(\SLA{sl}{2}\) torus \(n\)-point functions
A. Zuevsky
Krauel, Shafiq and Wood realized torus \(1\)-point functions for the simple affine \voa{}s \(L(k,0)\) built from \(\alg{sl}(2)\) as vector-valued modular forms attached to a cyclic…
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.…
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…
Determinant representations for Garvan formulas
D. Levin, H. -G. Shin, A. Zuevsky
In this note, we demonstrate how determinant representations for correlation functions in conformal field theory can be used to derive explicit determinant formulas for powers of t…