Annals of Global Analysis and Geometry

, Volume 11, Issue 2, pp 125–133 | Cite as

Local invariants of singular surfaces in an almost complex four-manifold

  • Goo Ishikawa
  • Toru Ohmoto


In this paper we define two local invariants, the local self-intersection index and the Maslov index, for singular surfaces in an almost complex four-manifold and prove formulae involving these invariants, which generalize formulae of Lai and Givental.

MSC 1991

58C27 58F05 

Key words

Singular surface local self-intersection index Maslov index open Whitney umbrella 


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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Goo Ishikawa
    • 1
  • Toru Ohmoto
    • 2
    • 3
  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan
  2. 2.Department of MathematicsTokyo Institute of TechnologyOhokayamaJapan
  3. 3.Department of MathematicsHokkaido UniversitySapporoJapan

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