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Mapping class group of a surface is generated by two elements

โœ Scribed by Bronislaw Wajnryb

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
423 KB
Volume
35
Category
Article
ISSN
0040-9383

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๐Ÿ“œ SIMILAR VOLUMES

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We study representations of subgroups of the mapping class group M g of a surface of genus g 2 arising from the actions of them on the first cohomology groups of the surface with local coefficient systems which are defined by nontrivial homomorphisms ฯ€ 1 (ฮฃ g , \* ) โ†’ Z 2 = Aut(Z). As an application

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Let ฮฃ n g be an orientable surface of genus g 0 with n 0 punctures and ฮ“ n g be its pure mapping class group. The group ฮ“ n g has a filtration {ฮ“ n g [m]} m 1 induced from its action on the fundamental group of Ann. 304 (1996) 99], which is induced from pasting two surfaces with one boundary compone