Algebraic & Geometric Topology 11 (2011) 145–195

DOI: 10.2140/agt.2011.11.145

Abstract

We study a secondary invariant, called the Meyer function, on the fundamental group of the complement of the dual variety of a smooth projective variety. This invariant has played an important role when studying the local signatures of fibered 4–manifolds from topological point of view. As an application of our study, we define a local signature for generic nonhyperelliptic fibrations of genus 4 and 5 and compute some examples.

Keywords

mapping class group, Meyer function, bounded cohomology, local signature

Mathematical Subject Classification

Primary: 14D05, 57N13

References

Publication

Received: 6 May 2010
Revised: 2 October 2010
Accepted: 13 October 2010
Published: 6 January 2011

Authors