Generalized Chillingworth Classes on Subsurface Torelli Groups
Geometric Topology
2019-03-12 v1
Abstract
The contraction of the image of the Johnson homomorphism is called the Chillingworth class. In this paper, we derive a combinatorial description of the Chillingworth class for Putman's subsurface Torelli groups. We also prove the naturality and uniqueness properties of the map whose image is the dual of the Chillingworth classes of the subsurface Torelli groups. Moreover, we relate the Chillingworth class of the subsurface Torelli group to the partitioned Johnson homomorphism.
Cite
@article{arxiv.1903.03799,
title = {Generalized Chillingworth Classes on Subsurface Torelli Groups},
author = {Hatice Ünlü Eroğlu},
journal= {arXiv preprint arXiv:1903.03799},
year = {2019}
}
Comments
18 pages, 1 figure