Formulae for order one invariants of immersions and embeddings of surfaces

dc.creatorNowik, Tahl
dc.date2003-05-05
dc.date.accessioned2026-07-07T04:57:45Z
dc.date.available2026-07-07T04:57:45Z
dc.descriptionThe universal order 1 invariant f^U of immersions of a closed orientable surface into R^3, whose existence has been established in [N3], takes values in the group G_U = K \oplus Z/2 \oplus Z/2 where K is a countably generated free Abelian group. The projections of f^U to K and to the first and second Z/2 factors are denoted f^K, M, Q respectively. An explicit formula for the value of Q on any embedding has been given in [N2]. In the present work we give an explicit formula for the value of f^K on any immersion, and for the value of M on any embedding.
dc.identifierhttps://arxiv.org/abs/math/0305070
dc.identifierhttp://arxiv.org/abs/math/0305070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67369
dc.subjectGeometric Topology
dc.titleFormulae for order one invariants of immersions and embeddings of surfaces
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