Orientable closed 3-manifolds with surface-complexity one
Gennaro Amendola
TL;DR
This paper classifies all orientable closed 3-manifolds with a surface-complexity of one, expanding the understanding of their structure and properties.
Contribution
It provides a complete classification of orientable closed 3-manifolds with surface-complexity one, a previously unclassified category.
Findings
Complete list of orientable closed 3-manifolds with surface-complexity one
Clarification of the structure of these manifolds
Extension of known classifications in 3-manifold topology
Abstract
After a short summary of known results on surface-complexity of closed 3-manifolds, we will classify all closed orientable 3-manifolds with surface-complexity one.
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Taxonomy
TopicsGeometric and Algebraic Topology · Computational Geometry and Mesh Generation · Advanced Combinatorial Mathematics