5 problems

Consider the two nodal manifolds associated with the minimal multifold-node models inside an enclosing sphere $S^\ell$. Suppose that their nontrivial cycles occur in complementary…

Let $M_\varnothing\simeq\mathsf{Gr}^+(2,5)\simeq\mathsf{Sp}(2)/\mathsf{U}(2)$ be the nodal manifold, identified with the complex quadric threefold $Q^3$, and suppose its nontrivial…

Let $M_\medcirc\simeq\mathbb{C}P^3$ be the nodal manifold in the considered class-$\textrm{D}$ model, with cells in dimensions $D\in\{0,2,4,6\}$. Chirally resolved Chern-number con…

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…

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…