4 problems

Let $C_{p,d}(\mathbb{P}^n)$ denote the Chow variety of effective algebraic $p$-cycles of degree $d$ in complex projective space, let $L_qH_k(-)_{\mathbb{Q}}$ denote Lawson homology…

Fix $m\geq 2$, $k\geq 1$, and $n\geq 3$. Let … be the graphing map. Graphing injectivity conjecture. The induced maps on rational homotopy and rational homology are injective: … ar…

Let $R$ denote the radius of convergence of the Poincaré series of the space of long knots modulo immersions. Positive-radius conjecture. The radius of convergence is positive; tha…

Let $\mathcal{K}^{m\bullet}_d$ be the cosimplicial space of long links of $m$ strands in $\mathbb{R}^d$ constructed by Munson and Volić, and let its homology Bousfield–Kan spectral…