Giroux torsion and twisted coefficients
Paolo Ghiggini, Ko Honda
TL;DR
This paper investigates how applying a full Lutz twist along a pre-Lagrangian torus affects the contact invariant in Heegaard Floer homology with twisted coefficients, providing insights into contact topology modifications.
Contribution
It offers a detailed analysis of the impact of Lutz twists on contact invariants in Heegaard Floer homology with twisted coefficients, a novel exploration in contact topology.
Findings
Lutz twist alters the contact invariant in a specific, predictable manner.
The effect of twisted coefficients on the contact invariant is characterized.
The results deepen understanding of contact structure modifications in 3-manifolds.
Abstract
We explain the effect of applying a full Lutz twist along a pre-Lagrangian torus in a contact 3-manifold, on the contact invariant in Heegaard Floer homology with twisted coefficients.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics