6533b857fe1ef96bd12b3a78

RESEARCH PRODUCT

Invariants of transverse foliations

José Martínez AlfaroRafael López Machí

subject

Transverse planePure mathematicsMathematics::Dynamical SystemsPlane foliationsInvariants of foliationsMathematical analysisPhysics::Space PhysicsHausdorff spaceTransverse foliationsGeometry and TopologyInvariant (mathematics)Finite setMathematics

description

Abstract We construct two invariants for a pair of transverse one-dimensional foliations on the plane. If the set of separatrices is Hausdorff in the space of leaves, the invariant is a distinguished graph. In case there are a finite number of separatrices the invariant is an indexed link.

10.1016/j.topol.2011.09.027http://dx.doi.org/10.1016/j.topol.2011.09.027