Tautological rings of stable map spaces

Anca M. Mustaţǎ; Andrei Mustaţǎ

doi:10.1016/j.aim.2007.09.013

Tautological rings of stable map spaces

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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 Pⁿ, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.

Original language	English
Pages (from-to)	1728-1755
Number of pages	28
Journal	Advances in Mathematics
Volume	217
Issue number	4
DOIs	https://doi.org/10.1016/j.aim.2007.09.013
Publication status	Published - 1 Mar 2008

Keywords

Cohomology
Moduli spaces
Stable maps
Tautological

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10.1016/j.aim.2007.09.013

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title = "Tautological rings of stable map spaces",

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 Pn, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.",

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author = "Musta{\c t}ǎ, \{Anca M.\} and Andrei Musta{\c t}ǎ",

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AU - Mustaţǎ, Anca M.

AU - Mustaţǎ, Andrei

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N2 - 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 Pn, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.

AB - 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 Pn, these give a complete presentation for the cohomology and Chow rings in the cases with/without marked points.

KW - Cohomology

KW - Moduli spaces

KW - Stable maps

KW - Tautological

UR - https://www.scopus.com/pages/publications/38349059885

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DO - 10.1016/j.aim.2007.09.013

M3 - Article

AN - SCOPUS:38349059885

SN - 0001-8708

VL - 217

SP - 1728

EP - 1755

JO - Advances in Mathematics

JF - Advances in Mathematics

IS - 4

ER -

Tautological rings of stable map spaces

Abstract

Keywords

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