On tangential cohomology attached to a function on complex foliations
Cristian Ida
TL;DR
This paper introduces a new cohomology theory associated with functions on complex foliations, exploring its dependence on the function and establishing related structures like relative cohomology and Mayer-Vietoris sequences.
Contribution
It presents a novel cohomology framework for functions on complex foliations and analyzes its properties and related algebraic structures.
Findings
Defined a new cohomology attached to functions on complex foliations
Analyzed the dependence of this cohomology on the function
Established a Mayer-Vietoris sequence for the cohomology
Abstract
In this note we study a new cohomology attached to a function along the leaves of complex foliations. We also explain how this cohomology depends on the function and we study a relative cohomology and a Mayer-Vietoris sequence related to this cohomology.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Differential Equations and Dynamical Systems · Homotopy and Cohomology in Algebraic Topology