3 problems

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