Lagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups

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dc.creatorShevchishin, Vsevolod
dc.date2007-07-13
dc.date.accessioned2026-07-07T08:18:22Z
dc.date.available2026-07-07T08:18:22Z
dc.descriptionA proof of non-existence of Lagrangian embeddings of the Klein bottle K in \CP^2 is given. We exploit the existence of a special embedding of K in a symplectic Lefschetz pencil on \CP^2 and study its monodromy. As the main technical tool, we develop the theory of mapping class groups, considered as quotients of special Artin braid groups, and obtain some new results about combinatorial structure of such groups.
dc.description50 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0707.2085
dc.identifierhttp://arxiv.org/abs/0707.2085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134408
dc.subjectSymplectic Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject57R17; 53D12; 20F36; 20F55
dc.titleLagrangian embeddings of the Klein bottle and combinatorial properties of mapping class groups
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