Intersection operations for measured laminations carried by a branched manifold

Ulrich Oertel, Athanase Papadopoulos

Research output: Contribution to journalArticlepeer-review

Abstract

We described an algebraic intersection operation for measured laminations carried by a codimension-1 branched manifold embedded in a manifold. Using this operation we define real-valued intersection forms and obtain formulas for their values in terms of invariant measures on the branched manifolds. Finally, we use the intersection operation to define a multiple-valued intersection "operation" for isotopy classes of incompressible surfaces in a Haken manifold.

Original languageEnglish (US)
Pages (from-to)99-116
Number of pages18
JournalTopology and its Applications
Volume50
Issue number2
DOIs
StatePublished - Apr 27 1993

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Branched manifold
  • Haken manifold
  • incompressible surface
  • intersection
  • measured lamination
  • surface

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