42 citations · 434 across the 64 of their papers we have counts for
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math.GT2012★ 13 cited
Quasifuchsian state surfaces
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
This paper continues our study, initiated in [arXiv:1108.3370], of essential state surfaces in link complements that satisfy a mild diagrammatic hypothesis (homogeneously adequate)…
math.GT2012★ 6 cited
Explicit Dehn filling and Heegaard splittings
David Futer, Jessica S. Purcell
We prove an explicit, quantitative criterion that ensures the Heegaard surfaces in Dehn fillings behave "as expected." Given a cusped hyperbolic manifold X, and a Dehn filling whos…