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Mathematics > Functional Analysis

arXiv:2407.00198 (math)
[Submitted on 28 Jun 2024 (v1) , last revised 5 May 2025 (this version, v3)]

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

Title: 复曲线叶状结构的多重乘积序列和上同调类

Authors:A. Zuevsky
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.
Subjects: Functional Analysis (math.FA)
Cite as: arXiv:2407.00198 [math.FA]
  (or arXiv:2407.00198v3 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.2407.00198

Submission history

From: A Zuevsky [view email]
[v1] Fri, 28 Jun 2024 19:12:09 UTC (66 KB)
[v2] Tue, 27 Aug 2024 12:45:25 UTC (47 KB)
[v3] Mon, 5 May 2025 20:33:50 UTC (56 KB)
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