3 problems

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CII winding-number conjecture for the three-cycle of the nodal manifold
Let $M_\varnothing\simeq\mathsf{Sp}(2)$ be the nodal manifold for class- $\textrm{CII}$ Hamiltonians with four occupied and four unoccupied bands. Its cell decomposition contains a…
Conjectureopensymmetry-classes topological-band-theory winding-numbersarXiv posted 2 days ago
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Quaternionic second Chern number conjecture for the four-cycle of the CII nodal manifold
Let $M_\medcirc$ be the $11$ -dimensional nodal manifold in the quaternionic chiral symmetry class $\textrm{CII}$ , and let the enclosing sphere be $S^{15}$ . The manifold contains a…
Conjectureopenchern-numbers symmetry-classes topological-band-theoryarXiv posted 2 days ago
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The dimensional classification conjecture for topological phases
A topological insulator belongs to one of ten symmetry classes determined by the fundamental symmetries stabilizing topological insulating phases. For each class, consider the spat…
Conjectureopensymmetry-classes topological-insulators topological-phasesarXiv posted 2 days ago

CII winding-number conjecture for the three-cycle of the nodal manifold