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Differential Geometry Seminar
The normal closure of a bounding pair map in its mapping class group
The normal closure of a bounding pair map in its mapping class group
Organizers
Speaker
Lei Chen
Time
Tuesday, December 2, 2025 3:00 PM - 4:00 PM
Venue
A3-4-301
Online
Zoom 388 528 9728
(BIMSA)
Abstract
Johnson showed that the normal subgroup of a mapping class group generated by the genus 1 bounding pair maps is equal to the Torelli group. Generalizing Johnson's result, we give two descriptions of the normal subgroup generated by the genus n bounding pair maps using the Chillingworth and the Casson--Morita invariants.