3 problems

Consider a $d$-dimensional bosonic, respectively fermionic, theory defined by a path integral with target space $Y$. For $-1\leq p\leq d-1$, its $p$-form solitonic symmetry is expe…

Let $Y$ be a target space, and let $\oldmathbb{H}U(1)$ and $\oldmathbb{SU}$ denote the unitary and super-unitary spectra, respectively. Unitary cohomology conjecture. These two spe…

2-vector bundle conjecture. $2$-vector bundles give rise to a geometric cohomology theory of the same sort as elliptic cohomology, or, more precisely, to the algebraic $K$-theory o…