Corpus ID: 237420518

# The product on $\W$-spaces of rational forms

@inproceedings{Zuevsky2020ThePO,
title={The product on \$\W\$-spaces of rational forms},
author={A. Zuevsky},
year={2020}
}
We explore the notion of the spaces Wz1,...,zn of rational differential forms with complex formal parameteres (z1, . . . , zn) for n ≥ 0, and define a product between theire elements. Let V be a quasi-conformal grading-restricted vertex algebra, W be its module, W be the algebraic completion of W , and Wz1,...,zn be the space of rational differential forms in (z1, . . . , zn). Using geometric interpretation in terms of sewing two Riemann spheres with a number of marked points, we introduce a…

#### References

SHOWING 1-10 OF 13 REFERENCES
Table Of Integrals Series And Products
The table of integrals series and products is universally compatible with any devices to read and is available in the book collection an online access to it is set as public so you can get it instantly.
Genus Two Partition and Correlation Functions for Fermionic Vertex Operator Superalgebras I
• Mathematics, Physics
• 2011
We define the partition and n-point correlation functions for a vertex operator superalgebra on a genus two Riemann surface formed by sewing two tori together. For the free fermion vertex operator
A Cohomology Theory of Grading-Restricted Vertex Algebras
We introduce a cohomology theory of grading-restricted vertex algebras. To construct the correct cohomologies, we consider linear maps from tensor powers of a grading-restricted vertex algebra to
First and Second Cohomologies of Grading-Restricted Vertex Algebras
Let V be a grading-restricted vertex algebra and W a V-module. We show that for any $${m\in \mathbb{Z}_{+}}$$m∈Z+, the first cohomology $${H^{1}_{m}(V, W)}$$Hm1(V,W) of V with coefficients in W
Vertex algebras on algebraic curves
• 2004
Vertex Operator Algebras for Beginners
• University Lecture Series
• 1998
Two-Dimensional Conformal Geometry and Vertex Operator Algebras
The focus of this volume is to formulate and prove one main theorem, the equivalance between the algebraic and geometric formulations of the notion of vertex operator algebra. The author introduces a
Modular invariance of characters of vertex operator algebras
In contrast with the finite dimensional case, one of the distinguished features in the theory of infinite dimensional Lie algebras is the modular invariance of the characters of certain
On Axiomatic Approaches to Vertex Operator Algebras and Modules
• Mathematics
• 1993
Introduction Vertex operator algebras Duality for vertex operator algebras Modules Duality for modules References.