1.1k citations
- City University of New YorkUS76 papers
- The Graduate Center, CUNYUS50 papers
- New York UniversityUS8 papers
- New York City College of TechnologyUS5 papers
- Centre National de la Recherche ScientifiqueFR4 papers
- Imperial College LondonGB4 papers
- Lehman CollegeUS4 papers
- Princeton UniversityUS4 papers
- College of Staten IslandUS3 papers
- Columbia UniversityUS3 papers
- State University of New YorkUS3 papers
- Trinity College DublinIE3 papers
5 papers · 1 filter
Counting Tripods on the Torus
Jayadev S. Athreya, David Aulicino, Harry Richman
Motivated by the problem of counting finite BPS webs, we count certain immersed metric graphs, tripods, on the flat torus. Classical Euclidean geometry turns this into a lattice po…
Platonic solids and high genus covers of lattice surfaces
Jayadev S. Athreya, David Aulicino, W. Patrick Hooper
We study the translation surfaces obtained by considering the unfoldings of the surfaces of Platonic solids. We show that they are all lattice surfaces and we compute the topology…
Stability and triviality of the transverse invariant from Khovanov homology
Diana Hubbard, Christine Ruey Shan Lee
We explore properties of braids such as their fractional Dehn twist coefficients, right-veeringness, and quasipositivity, in relation to the transverse invariant from Khovanov homo…
Braids with as many full twists as strands realize the braid index
Peter Feller, Diana Hubbard
We characterize the fractional Dehn twist coefficient of a braid in terms of a slope of the homogenization of the Upsilon function, where Upsilon is the function-valued concordance…
Characterization of the asymptotic Teichmuller space of the open unit disk through shears
Jinhua Fan, Jun Hu
We give a parametrization to the asymptotic Teichmuller space of the open unit disk through equivalent classes of shear functions induced by quasisymmetric homeomorphisms on the Fa…