The mapping class group and the Meyer function for plane curves

Details The mapping class group and the Meyer function for plane curves The mapping class group and the Meyer function for plane curves

2007-07-30

arxiv.org/abs/0707.4332v2

Mathematische Annalen 342, Number 4, pp923-949, 2008

Mathematics

Geometric Topology

24 pages, typo added

Scientific paper

10.1007/s00208-008-0261-0

For each d>=2, the mapping class group for plane curves of degree d will be defined and it is proved that there exists uniquely the Meyer function on this group. In the case of d=4, using our Meyer function, we can define the local signature for 4-dimensional fiber spaces whose general fibers are non-hyperelliptic compact Riemann surfaces of genus 3. Some computations of our local signature will be given.

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