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math.DS2019
Vector fields and genus in dimension 3
Pierre Dehornoy, Ana Rechtman
Given a flow on a 3-dimensional integral homology sphere, we give a formula for the Euler characteristic of its transverse surfaces, in terms of boundary data only. We illustrate t…
math.DS2016★ 1 cited
Perspectives on Kuperberg flows
Steven Hurder, Ana Rechtman
The "Seifert Conjecture" asks, "Does every non-singular vector field on the 3-sphere have a periodic orbit?" In a celebrated work, Krystyna Kuperberg gave a constru…