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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(online) ISSN 0894-0347(print)

 

Intersection theory on $\overline{\mathcal{M}}_{1,4}$
and elliptic Gromov-Witten invariants


Author: E. Getzler
Journal: J. Amer. Math. Soc. 10 (1997), 973-998
MSC (1991): Primary 14H10, 14H52, 14N10, 81T40, 81T60
MathSciNet review: 1451505
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Abstract: We find a new relation among codimension $2$ algebraic cycles in the moduli space $\overline{\mathcal{M}}_{1,4}$, and use this to calculate the elliptic Gromov-Witten invariants of projective spaces $\mathbb{CP}^2$ and $\mathbb{CP}^3$.


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Additional Information

E. Getzler
Affiliation: Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, D-53225 Bonn, Germany
Address at time of publication: Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730
Email: getzler@math.nwu.edu

DOI: http://dx.doi.org/10.1090/S0894-0347-97-00246-4
PII: S 0894-0347(97)00246-4
Keywords: Gromov-Witten invariants, moduli spaces, algebraic curves
Received by editor(s): February 10, 1997
Received by editor(s) in revised form: June 4, 1997
Article copyright: © Copyright 1997 American Mathematical Society