6 problems

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…

Let $G$ be a compact Lie group acting smoothly on a compact manifold $M$, let $\alpha\in H^3_G(M,\mathbb Z)$, let $R(G)$ be the representation ring, and let…

Let $p$ be a prime number and $n$ an integer. Let $S$ be a regular scheme, $X$ a scheme of finite type over $S$, $d$ an integer, and $x\in K_0'(X)_{(d)}$. For each integer…

Natural lift conjecture. The complex $Tr(u)$ has a natural lift

Let $M$ be a manifold, let $LM$ be its free loop space, and let $1|1$D and $0|1$D SUSY QFTs over a manifold mean supersymmetric quantum field theories of the indicated dimensions o…