3 problems

Let Setup be fixed. For a weight $v \colon P \to \mathbb{R}_{>0}$, let $C_v>0$ be a constant, and let $\mathcal{E}$ be a $\mathbb{G}$-equivariant torsion-free sheaf. The equivarian…

Let $X$ be a compact pure-dimensional complex algebraic variety. The Goresky–MacPherson homology $L$-class of $X$ is denoted by $L_*(X)$, and its intersection cohomology Hirzebruch…

Let $X_s$ be the special fiber, let $A^i_{\psi}(X_s)$ and $A^i_{\phi}(X_s)$ be the algebraic nearby- and vanishing-cycle groups, and let ${\mathsf L}$ be the Lefschetz operator ind…