19 citations · 22 across the 7 of their papers we have counts for
7 papers
Complete Topological Classification with P and T Symmetries: Revealing a Topological Invariant Invisible to K-Theory
Chen Zhang, Y. X. Zhao
The K-theoretic framework provides a complete topological classification of the tenfold symmetry classes and has been generalized to incorporate crystalline symmetries. Here, we sh…
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\inπ_{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…
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…
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…
Non-Abelian Braiding of Topological Edge Bands
Yang Long, Zihao Wang, Chen Zhang +3
Braiding is a geometric concept that manifests itself in a variety of scientific contexts from biology to physics, and has been employed to classify bulk band topology in topologic…
D invariants obstruction to sliceness of a class of algebraically slice knots
Chen Zhang
We use d invariants of the 2-fold branched cover to show nonsliceness of a set of algebraically slice knots.