Taut sutured manifolds and twisted homology
Stefan Friedl, Taehee Kim
TL;DR
This paper establishes a precise criterion linking tautness of sutured manifolds to their twisted homology, providing a new algebraic tool for topological analysis.
Contribution
It introduces a necessary and sufficient condition for tautness of sutured manifolds based on twisted homology, advancing the understanding of their topological properties.
Findings
Criterion for tautness via twisted homology
Bridging sutured manifold topology and algebraic invariants
Enhanced methods for analyzing 3-manifolds
Abstract
We give a necessary and sufficient criterion for a sutured manifold to be taut in terms of the twisted homology of the sutured manifold.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics