16 citations · 66 across the 22 of their papers we have counts for
14 papers · 1 filter
Spinors and horospheres
Daniel V. Mathews
We give an explicit bijective correspondence between between nonzero pairs of complex numbers, which we regard as spinors or spin vectors, and horospheres in 3-dimensional hyperbol…
A symplectic basis for 3-manifold triangulations
Daniel V. Mathews, Jessica S. Purcell
In the 1980s, Neumann and Zagier introduced a symplectic vector space associated to an ideal triangulation of a cusped 3-manifold, such as a knot complement. We give a geometric in…
A-Polynomials of fillings of the Whitehead sister
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell +1
Knots obtained by Dehn filling the Whitehead sister link include some of the smallest volume twisted torus knots. Here, using results on A-polynomials of Dehn fillings, we give for…
A-polynomials, Ptolemy equations and Dehn filling
Joshua A. Howie, Daniel V. Mathews, Jessica S. Purcell
The A-polynomial encodes hyperbolic geometric information on knots and related manifolds. Historically, it has been difficult to compute, and particularly difficult to determine A-…
A-infinity algebras, strand algebras, and contact categories
Daniel V. Mathews
In previous work we showed that the contact category algebra of a quadrangulated surface is isomorphic to the homology of a strand algebra from bordered sutured Floer theory. Being…
Tight contact structures on Seifert surface complements
Tamás Kálmán, Daniel V. Mathews
We consider complements of standard Seifert surfaces of special alternating links. On these handlebodies, we use Honda's method to enumerate those tight contact structures whose di…