The Euler **data** Q
Theorem 7.1. (i) deg α A d ≤ −2.
(ii) If for each d the class b T (V d ) has homogeneous degree the same as the degree of M 0,0 (d, X), then in the nonequivariant limit we have
X e −H·t/α A d = α −3 (2 − d · t)K d X HG[A](t) − e −H·t/α Ω = α −3 (2Φ − t i ∂Φ ∂t i ).
Proof: Earlier we have proved that
A d = i * 0 Q v d = ev ! ρ * b T (V d ) α(α − c 1 (L)) ,
where L = L d is the line bundle on M 0,1 (d, X) whose fiber at a point (f, C; x) is the tangent line at x.