Closed orbits of a pseudo-Anosov flow generate a sutured Heegaard Floer chain complex, and a new Z/2-grading on that complex categorifies the flow's zeta function.
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Heegaard Floer theory and pseudo-Anosov flows I: Generators and categorification of the zeta function
Closed orbits of a pseudo-Anosov flow generate a sutured Heegaard Floer chain complex, and a new Z/2-grading on that complex categorifies the flow's zeta function.