Heegaard diagrams corresponding to Turaev surfaces
Cody Armond, Nathan Druivenga, and Thomas Kindred

TL;DR
This paper establishes a correspondence between Turaev surfaces of link diagrams on the sphere and special Heegaard diagrams for the 3-sphere that are adapted to links, providing a new perspective on link invariants.
Contribution
It introduces a novel correspondence linking Turaev surfaces and special Heegaard diagrams for links in the 3-sphere.
Findings
New correspondence between Turaev surfaces and Heegaard diagrams
Enhanced understanding of link invariants via this correspondence
Potential applications to link and 3-manifold topology
Abstract
We describe a correspondence between Turaev surfaces of link diagrams on and special Heegaard diagrams for adapted to links.
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