Multiple quantum products in toric varieties

We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne-Mumford spaces ℳ¯0,m.

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Main Author: Holger Spielberg
Format: Article
Language:English
Published: Wiley 2002-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171202107022
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author Holger Spielberg
author_facet Holger Spielberg
author_sort Holger Spielberg
collection DOAJ
description We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne-Mumford spaces ℳ¯0,m.
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institution Kabale University
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1687-0425
language English
publishDate 2002-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8eddbe49a1b94b78864e2ef97ebf460d2025-02-03T01:12:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-01311167568610.1155/S0161171202107022Multiple quantum products in toric varietiesHolger Spielberg0Centro de Analíse Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Av. Rovisco Pais, Lisboa 1049-001, PortugalWe generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne-Mumford spaces ℳ¯0,m.http://dx.doi.org/10.1155/S0161171202107022
spellingShingle Holger Spielberg
Multiple quantum products in toric varieties
International Journal of Mathematics and Mathematical Sciences
title Multiple quantum products in toric varieties
title_full Multiple quantum products in toric varieties
title_fullStr Multiple quantum products in toric varieties
title_full_unstemmed Multiple quantum products in toric varieties
title_short Multiple quantum products in toric varieties
title_sort multiple quantum products in toric varieties
url http://dx.doi.org/10.1155/S0161171202107022
work_keys_str_mv AT holgerspielberg multiplequantumproductsintoricvarieties