Johnson-Morita theory in mapping class groups and monoids of homology cobordisms of surfaces

DOI10.5802/wbln.15zbMath1422.57051OpenAlexW2720598003MaRDI QIDQ5234880

Takuya Sakasai

Publication date: 7 October 2019

Published in: Winter Braids Lecture Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/wbln.15

zbMATH Keywords

mapping class groupTorelli groupJohnson homomorphismhomology cobordism

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Characteristic classes and numbers in differential topology (57R20) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

Related Items

Lens spaces which are realizable as closures of homology cobordisms over planar surfaces, A comparison of classes in the Johnson cokernels of the mapping class groups of surfaces

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