5 problems

Bulk-boundary higher-curvature conjecture. The infinite and semi-infinite systems have the same higher Berry curvature when $a$ is taken sufficiently far from the boundary.

Let $\mathbb{C}P^n$ be complex projective $n$-space, and let $S$ be a two-dimensional submanifold of $\mathbb{C}P^n$ with vanishing scalar curvature. Suppose that $S$ is a torus an…

A closed density algebra is an algebra of density operators in a lattice system that closes under the relevant algebraic operations; the GMP algebra is one example arising from the…

Consider a family of class A insulators in spatial dimension $D$, with parameter space ${\mathsf M}$, and let $\Omega^{(D+2)}$ be the closed $(D+2)$-form associated to the family.…

For a family of translationally invariant tight-binding free-fermion Hamiltonians in spatial dimension $D$, let ${\mathsf M}$ be the parameter space and let $\Omega^{(D+2)}$ be the…