Vanishing conjecture for the chi-genus of Enriques moduli spaces
Let YYY be an Enriques surface and let v=(r,β,n)∈H∗(Y,Z)v=(r,\beta,n)\in H^{\ast}(Y,\mathbb{Z})v=(r,β,n)∈H∗(Y,Z) be primitive, with rrr even and 2∤β2\nmid\beta2∤β. Let MY(v)M^Y(v)MY(v) be the automatically smooth moduli spac…