Kodaira fibrations with small signature

Thursday, June 29, 2017
Ora Inizio: 
Ora Fine: 
Sönke Rollenske
Univ. Marburg (Germania)


 Kodaira fibrations are surfaces of general type with a non-isotrivial fibration, 
which are differentiable fibre bundles.  First examples were constructed by 
Kodaira and Atiyah to show that the signature need not be multiplicative in 
fibre bundles. 
We review approaches to construct such surfaces with focus on controlling the 
signature. From this we obtain new examples with signature 16. (Joint work 
with Ju A Lee and  Michael Lönne)