Cobordism of immersions of surfaces in non-orientable 3-manifolds

2000/02/17 by Rosa Gini, Gini, Rosa
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R42 #msc:57R90

paper · pdf · doi:10.48550/arxiv.math/0002137

30 pages, 13 figures

arxiv created 2000/02/17 · arxiv updated 2009/11/30

Abstract

Some properties of non-orientable 3-manifolds are shown. The semi-group of cobordism of immersions of surfaces in such manifolds is computed and proven actually to be a group. Explicit invariants are provided.

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