3 problems

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 $X$ be a complex algebraic variety. Consider a natural transformation … without the normalization condition on smooth varieties. Let ${{td_y}_*}_i$ be the degree-$2i$ component…

Let $Z$ be a rational homology manifold. The class ${T_1}_*(Z)$ is the specialization at $y=1$ of the Hirzebruch class transformation $T_{y*}$, while the total Goresky–MacPherson h…