On tangential cohomology attached to a function on complex foliations

2010/12/06 by Cristian Ida, Ida, Cristian
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:32C36 #msc:53C12 #msc:58A10 #msc:58A12

paper · pdf · doi:10.48550/arxiv.1012.1203

8 pages

arxiv created 2010/12/06 · arxiv updated 2010/12/07

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.

Related

• A cohomology attached to a function
• Derived Foliations
• Equivariant Basic Cohomology of Riemannian Foliations
• Sequences of multiple products and cohomology classes for foliations of complex curves
• The dimension of the leafwise reduced cohomology