activity
19972026
most citedBordered Heegaard Floer homology: Invariance and pairing

196 citations · 1.4k across the 54 of their papers we have counts for

collaborators

57 papers

math.GT2026

The intersection dual of geodesic currents

Dídac Martínez-Granado, Dylan P. Thurston

Geodesic currents on closed hyperbolic surfaces are measures on the unit tangent bundle invariant under geodesic flow and orientation reversal. Every geodesic current induces a dua…

cs.DM2024

Models of random spanning trees

Eric Babson, Moon Duchin, Annina Iseli +3

There are numerous randomized algorithms to generate spanning trees in a given ambient graph; several target the uniform distribution on trees (UST), while in practice the fastest…

math.QA2024

Towards the quantum exceptional series

Kim Morrison, Noah Snyder, Dylan P. Thurston

We find a single two-parameter skein relation on trivalent graphs, the quantum exceptional relation, that specializes to a skein relation associated to each exceptional Lie algebra…

math.GT2023

Floer homology beyond borders

Robert Lipshitz, Peter Ozsváth, Dylan Thurston

Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earl…

math.GT2023

Bordered HF- for three-manifolds with torus boundary

Robert Lipshitz, Peter Ozsváth, Dylan Thurston

We define an invariant for bordered 3-manifolds with torus boundary, taking the form of a module over a weighted A-infinity algebra associated to a torus defined in previous work.…

math.DS2021

Ahlfors-regular conformal dimension and energies of graph maps

Kevin M. Pilgrim, Dylan P. Thurston

For a hyperbolic rational map with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set from a family of energi…