Generalized Chillingworth classes on subsurface Torelli groups

zbMath1493.57010arXiv1903.03799MaRDI QIDQ2046766

Hatice Ünlü Eroğlu

Publication date: 19 August 2021

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03799

zbMATH Keywords

Torelli groupJohnson homomorphismChillingworth class

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Other groups related to topology or analysis (20F38) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20) Knot theory (57K10)

Cites Work

• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• Families of Riemann surfaces and Jacobi varieties
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Cutting and pasting in the Torelli group
• Winding numbers on surfaces. I
• Winding numbers on surfaces. II: Applications
• Orbits of curves under the Johnson kernel

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