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

2021/06/10 by A. Zuevsky, Zuevsky, A.
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.2106.06538

Abstract

We define a product of pairs of double complex spaces Cⁿ_m(V, W, 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.

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