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Counting generic genus- curves on Hirzebruch surfaces
Author(s):
Holger
Spielberg
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1257-1264.
MSC (1991):
Primary 14N35;
Secondary 53D45, 14H10, 14M25
Posted:
December 27, 2001
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Abstract:
Hirzebruch surfaces  provide an excellent example to underline the fact that in general symplectic manifolds, Gromov-Witten invariants might well count curves in the boundary components of the moduli spaces. We use this example to explain in detail that the counting argument given by Batyrev for toric manifolds does not work.
References:
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Additional Information:
Holger
Spielberg
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Email:
Spielberg@member.ams.org
DOI:
10.1090/S0002-9939-01-06418-8
PII:
S 0002-9939(01)06418-8
Keywords:
Hirzebruch surfaces,
quantum cohomology,
Gromov--Witten invariants,
toric manifolds
Received by editor(s):
October 6, 2000
Posted:
December 27, 2001
Communicated by:
Mohan Ramachandran
Copyright of article:
Copyright
2001,
American Mathematical Society
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