162 citations · 690 across the 42 of their papers we have counts for
4 papers · 2 filters
Dehn filling, volume, and the Jones polynomial
David Futer, Efstratia Kalfagianni, Jessica S. Purcell
Given a hyperbolic 3-manifold with torus boundary, we bound the change in volume under a Dehn filling where all slopes have length at least 2π. This result is applied to give expli…
Alternating sum formulae for the determinant and other link invariants
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
A classical result states that the determinant of an alternating link is equal to the number of spanning trees in a checkerboard graph of an alternating connected projection of the…
Angled decompositions of arborescent link complements
David Futer, François Guéritaud
This paper describes a way to subdivide a 3-manifold into angled blocks, namely polyhedral pieces that need not be simply connected. When the individual blocks carry dihedral angle…
The Jones polynomial and graphs on surfaces
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li…