SIMPLY INTERSECTING PAIR MAPS IN THE MAPPING CLASS GROUP

DOI10.1142/S0218216512501076zbMath1262.57004arXiv1012.4751OpenAlexW2058105154MaRDI QIDQ4904842

Leah R. Childers

Publication date: 11 February 2013

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4751

zbMATH Keywords

mapping class groupTorelli groupJohnson homomorphismJohnson kernelBirman-Craggs-Johnson homomorphism

Mathematics Subject Classification ID

Topological methods in group theory (57M07)

Cites Work

• Small generating sets for the Torelli group
• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• An infinite presentation of the Torelli group
• The structure of the Torelli group. II: A characterization of the group generated by twists on bounding curves
• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• A linear representation of the mapping class group \(\mathcal M\) and the theory of winding numbers
• The Torelli groups for genus 2 and 3 surfaces
• 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

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