1 citations · 1 across the 8 of their papers we have counts for
4 papers · 1 filter
Oriented and Non-oriented Cubical Surfaces in The Penteract
Manuel Estevez, Erika Roldan, Henry Segerman
Which surfaces can be realized with two-dimensional faces of the five-dimensional cube (the penteract)? How can we visualize them? In recent work, Aveni, Govc, and Roldan, show tha…
Surfaces in The Tesseract
Manuel Estévez, Erika Roldan, Henry Segerman
How can we visualize all the surfaces that can be made from the faces of the tesseract? In recent work, Aveni, Govc, and Roldán showed that the torus and the sphere are the only cl…
Non-standard bi-orders on punctured torus bundles
Jonathan Johnson, Henry Segerman
Results of Perron and Rolfsen imply that untwisted hyperbolic once-punctured torus bundles over the circle have bi-orderable fundamental groups. They do this by showing that the ac…
Non-geometric veering triangulations
Craig D. Hodgson, Ahmad Issa, Henry Segerman
Recently, Ian Agol introduced a class of "veering" ideal triangulations for mapping tori of pseudo-Anosov homeomorphisms of surfaces punctured along the singular points. These tria…