2020/12/09 by Alexander Zuevsky, Zuevsky, A.
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.2012.05904
openalex publication_date 2020/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let V be a quasi-conformal grading-restricted vertex algebra, W be its module, and \Wz1, …, zn be the space of rational differential forms with complex parameters (z1, …, zn) for n ≥ 0. Using geometric interpretation in terms of two Riemann spheres sewing we define a product of elements of two spaces \Wx1, …, xk and \Wy1, …, yn, and study its properties. A product is introduced also for elements of two spaces Ckm(V, \W) × Cnm'(V, \W) → Ck+nm+m'(V, \W) of the corresponding chain complex of rational differential forms invariant with respect to transformations of complex parameters.