11 problems

Let $A^*({\overline{\mathcal{M}}}_{0,2}({\mathbb P}^1,2))$ denote the Chow ring of the moduli space of stable maps, let $L_1$ and $L_2$ be the cotangent line bundles associated wit…

Let $X$ be any flag variety, and let $\mathcal M_{0,n}(X,\beta)$ be the open part of the moduli space of stable maps, parametrizing maps without boundary degenerations. Let the ind…

Let $G$ be a semisimple algebraic group, let $P$ be a parabolic subgroup, and let $X=G/P$ be a general flag variety. For nonnegative integers $n$ and curve class $\beta$, write…

Let $X\subset \mathbb{P}^n$ be a general hypersurface of degree $d$, and let $\overline{\mathcal{M}}_{0,0}(X,e)$ be the Kontsevich moduli space of degree-$e$ stable maps to $X$. Ca…

Cohomology-ring presentation conjecture. The de Rham cohomology ring is

Let ${\mathcal Y}$ be a projective smooth superscheme of dimension $r|s$, with bosonic reduction $Y$, and let $\beta_0\in A_1(Y)$. Let…

Let $\overline{\mathcal{M}}_n$ denote the moduli space considered in the paper, and let $\overline{\mathcal{M}}_{0,n+1}$ denote the corresponding genus-zero moduli space. Their Eul…

Let $r$ be a positive integer and $d$ a positive odd number. The classes $4c_1,c_24$ generate the polynomial ring describing the presentation, and let…

Let $\pi_\Lambda:\mathcal{X}_\Lambda\to\mathcal{M}_\Lambda$ be the universal lattice-polarized K3 surface, let $L\in\Lambda$ be an admissible class, and let … be the evaluation map…

For a stable map $f:M\to N$, let $M(\underline{\eta})(f)$ be the closure of the locus of tuples of distinct points mapping to a common point, with the map-germ at each point having…

Let $G,d,m$ be as in the moduli problem, let $x$ be the marked point, and let $\overline{\mathcal M}^0_{G,1,d}(\mathbb{CP}^1)$ denote the relevant moduli space of stable maps. For…