Tautological rings of stable map spaces

Anca M. Mustata; Andrei Mustata

Tautological rings of stable map spaces

Algebraic Geometry 2007-05-23 v2

Authors: Anca M. Mustata , Andrei Mustata

Abstract

We find a set of generators and relations for the system of extended tautological rings associated to the moduli spaces of stable maps in genus zero, admitting a simple geometrical interpretation. In particular, when the target is $\PP^n$ , these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.

Keywords

chow rings cohomology algebraic topology

Cite

@article{arxiv.math/0607432,
  title  = {Tautological rings of stable map spaces},
  author = {Anca M. Mustata and Andrei Mustata},
  journal= {arXiv preprint arXiv:math/0607432},
  year   = {2007}
}

Comments

some typos corrected

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