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math.GT2024
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…
math.GT2023
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…