On the dimension of the "cohits" space ${\mathbb{Z}}_2{\otimes }_{{\mathcal{A}}_2}{H}^{\ast }((\mathbb{R}P(\infty ){)}^{\times t},{\mathbb{Z}}_2)$ and some applications

Dang Vo Phuc

We denote by ${\mathbb{Z}}_2$ the prime field of two elements and by $P_t={\mathbb{Z}}_2[x_1,\dots ,x_t]$ the polynomial algebra of $t$ generators $x_1,\dots ,x_t$ with the degree…