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.
Acknowledgments
I would like to thank to Ingrid Irmer and Mustafa Korkmaz for their supervision of this project. This project is part of the author's Ph.D thesis [8] at Middle East Technical University.
Citation
Ünlü eroğlu Hatice. "Generalized Chillingworth Classes On Subsurface Torelli Groups." Osaka J. Math. 58 (2) 273 - 289, April 2021.
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