Sequences of multiple products and cohomology classes for foliations of complex curves

2024/06/28 by A. Zuevsky, Zuevsky, A.
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2407.00198

openalex publication_date 2024/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The idea of transversality is explored in the construction of cohomology theory associated to regularized sequences of multiple products of rational functions associated to vertex algebra cohomology of codimension one foliations on complex curves. Explicit formulas for cohomology invariants results from consideration transversality conditions applied to sequences of multiple products for elements of chain-cochain transversal complexes defined for codimension one foliations.

Related

• Product-type classes for vertex algebra cohomology of foliations on complex curves
• Direct sum for basic cohomology of codimension four taut Riemannian foliation
• Characteristic classes of foliations via SAYD-twisted cocycles
• Cosimplicial cohomology of restricted meromorphic functions on foliated manifolds
• Transversal Twistor Spaces of Foliations