9 problems

The compatibility conjecture. The isomorphism $\eta$ induces an isomorphism of perfect obstruction theories

Obstructed semi-manifold obstruction conjecture. Obstructed semi-manifolds may have nonvanishing ordinary obstruction, and this obstruction can be calculated by extending standard…

Let $R$ be an even commutative $S$-algebra, let $x\in R_d$, and let $p$ be a prime such that $n$ is invertible in $R_*$ for every $n<p$. Let $\bar c_n(x)\in\pi_{p(d+2)-2}R/(p,x)$ d…

Let $X$ be a smooth projective variety over a field $k$ of characteristic zero, and let $Y\subset X$ be a closed locally complete intersection subvariety of codimension $p$. Let…

Let $L_\infty$ be the limiting linear map appearing in the desingularization and obstruction setup, where the theorem was originally stated under the assumption…

Compatibility conjecture. The restriction $\iota_{n,\alpha}^*{\mathbb E}$ agrees, as a symmetric perfect obstruction theory, with ${\mathbb E}_{\operatorname{crit}}$.

Let $(X,T^*_{X,-})$ be a model and let $(Y,T^*_{Y,-})$ be a $gt$-model over a connected Stein base whose fiber is $(X,T^*_{X,-})$, so that $Y=X\times B$ and…

Let $(Y,T^*_{Y,-})$ be a $gt$-model. The secondary obstruction complex has differentials … Let $\Theta(T^*_{Y,-})$ denote the model class and let…

For an integer $n$, consider $n$-dimensional cell complexes $K$ whose underlying spaces are $(n-1)$-connected and do not embed in $S^{2n}$. An $h$-minor is a cell complex obtained…