Genus-Zero Mirror Principle For Two Marked Points

摘要

We study a generalization of Lian-Liu-Yau's notion of Euler data in genuszero and show that certain sequences of multiplicative equivariantcharacteristic classes on Kontsevich's stable map moduli with markings inducedata satisfying the generalization. In the case of one or two markings, thisdata is explicitly identified in terms of hypergeometric type classes,constituting a complete extension of Lian-Liu-Yau's mirror principle in genuszero to the case of two marked points and establishing a program for thegeneral case. We give several applications involving the Euler class ofobstruction bundles induced by a concavex bundle on $P^n$.