Heegaard diagrams corresponding to Turaev surfaces

Abstract

We describe a correspondence between Turaev surfaces of link diagrams on $S^2\subset S^3$ and special Heegaard diagrams for $S^3$ adapted to links.

arXiv comment12 pages, 9 figures

References in corpus (5)

• The Jones polynomial and graphs on surfaces
• On knot Floer width and Turaev genus
• Graphs on surfaces and Khovanov homology
• Quasi-tree expansion for the Bollobás-Riordan-Tutte polynomial
• A survey on the Turaev genus of knots

Cited by in corpus (3)

• Turaev genus and alternating decompositions
• Link diagrams with low Turaev genus
• A counterexample to Question 1 of "A survey on the Turaev genus of knots"