English

Product-type classes for vertex algebra cohomology of foliations on complex curves

Functional Analysis 2022-08-25 v3

Abstract

We define a product of pairs of double complex spaces Cmn(V,W,F)C^n_m(V, \mathcal{W}, \mathcal{F}) for gradig-restricted vertex algebra cohomology of codimension one foliation on a complex curve. We introduce a vertex algebra counterpart of the classical %product-type cohomological class using the orthogonality conditions on elements of double complex spaces with respect to the product we introduced.

Keywords

Cite

@article{arxiv.2106.06538,
  title  = {Product-type classes for vertex algebra cohomology of foliations on complex curves},
  author = {A. Zuevsky},
  journal= {arXiv preprint arXiv:2106.06538},
  year   = {2022}
}

Comments

arXiv admin note: substantial text overlap with arXiv:2106.06003, arXiv:2012.05904, arXiv:2012.07343; text overlap with arXiv:1006.2516 by other authors