Cobordism of immersions of surfaces in non-orientable 3-manifolds
Rosa Gini
TL;DR
This paper investigates the cobordism properties of surface immersions in non-orientable 3-manifolds, establishing the structure of the cobordism semi-group and providing explicit invariants.
Contribution
It computes the cobordism semi-group of surface immersions in non-orientable 3-manifolds and proves it forms a group, with explicit invariants introduced.
Findings
The semi-group of cobordisms is actually a group.
Explicit invariants for cobordism classes are provided.
Properties of non-orientable 3-manifolds are characterized.
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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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics