# Notes on hyperelliptic mapping class groups

@inproceedings{Boggi2021NotesOH, title={Notes on hyperelliptic mapping class groups}, author={Marco Boggi}, year={2021} }

Hyperelliptic mapping class groups are defined either as the centralizers of hyperelliptic involutions inside mapping class groups of oriented surfaces of finite type or as the inverse images of these centralizers by the natural epimorphisms between mapping class groups of surfaces with marked points. We study these groups in a systematic way. An application of this theory is a counterexample to the genus 2 case of a conjecture by Putman and Wieland on virtual linear representations of mapping…

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