The Meyer functions for projective varieties and their application to local signatures for fibered 4–manifolds

Kuno, Yusuke¹

¹Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, 739-8526, Japan

Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 145-195

Résumé

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.

Détail

DOI : 10.2140/agt.2011.11.145

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

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