# Real Lefschetz fibrations

Abstract : We study real Lefschetz fibrations. We present invariants of real Lefschetz fibrations over $D^2$ and $S^2$ with only real critical values. In case the fiber genus is 1, we obtain a combinatorial object, the so-called necklace diagram. By means of necklace diagrams we get a classification of genus-1 real Lefschetz fibrations having only real critical values and admitting a real section. We define refined necklace diagrams for fibrations without real sections. Using necklace diagrams we observe existence of some interesting examples.
Keywords :
Document type :
Theses
Domain :

Cited literature [42 references]

https://tel.archives-ouvertes.fr/tel-00179283
Contributor : Nermin Salepci <>
Submitted on : Monday, October 15, 2007 - 11:04:07 AM
Last modification on : Friday, June 19, 2020 - 9:10:04 AM
Long-term archiving on: : Monday, September 24, 2012 - 1:25:41 PM

### Identifiers

• HAL Id : tel-00179283, version 1

### Citation

Nermin Salepci. Real Lefschetz fibrations. Mathematics [math]. Université Louis Pasteur - Strasbourg I, 2007. English. ⟨NNT : 2007STR13088⟩. ⟨tel-00179283⟩

Record views