4 papers
Deeply Slice Knot Detection via Immersed Curves
Rob McConkey, Christopher St. Clair, Tristan Wells +1
On the Kirby list, Akbulut poses the question of whether there exists a homology 3-sphere , other than , with the following property: Any knot , representing $0\inÏ_{1}…
Projective crystal symmetry and topological phases
Chen Zhang, Shengyuan A. Yang, Y. X. Zhao
Quantum states naturally represent symmetry groups, though often in a projective sense. Intriguingly, the projective nature of crystalline symmetries has remained underexplored unt…
Brillouin Platycosms and Topological Phases
Chen Zhang, Peiyuan Wang, Junkun Lyu +1
There exist ten distinct closed flat D manifolds, known as platycosms, which hold significance in mathematics and have been postulated as potential geometric models for our univ…
Asymmetric real topology of conduction and valence bands
J. X. Dai, Chen Zhang, Y. X. Zhao
Previously, it was believed that conduction and valence bands exhibit a symmetry: They possess opposite topological invariants (e.g., the Chern numbers of conduction and valence ba…