no. 5
A quantum splitting principle and an application
[Un principe de décomposition quantique et une application]
Fan, Honglu1
1 ETH Zürich Department of Mathematics Rämistrasse 101 Zürich, 8092 (Switzerland)
Annales de l'Institut Fourier, Tome 69 (2019) no. 5, pp. 2067-2088.

Nous proposons un analogue du principe de décomposition en théorie de Gromov–Witten de genre zéro. Plus précisément, nous montrons comment réaliser la théorie de Gromov–Witten d’une variété X dans la théorie de la projectivisation d’un fibré vectoriel sur X. Nous donnons également une application.

We propose an analogy of splitting principle in genus-0 Gromov–Witten theory. More precisely, we show how the Gromov–Witten theory of a variety X can be embedded into the theory of the projectivization of a vector bundle over X. An application is also given.

Reçu le :
Révisé le :
Accepté le :
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DOI : 10.5802/aif.3289
Classification : 14N35
Keywords: Gromov–Witten theory, splitting principle, projective bundle
Mot clés : théorie de Gromov–Witten, principe de décomposition, fibré projectif

Fan, Honglu 1

1 ETH Zürich Department of Mathematics Rämistrasse 101 Zürich, 8092 (Switzerland)
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Fan, Honglu. A quantum splitting principle and an application. Annales de l'Institut Fourier, Tome 69 (2019) no. 5, pp. 2067-2088. doi : 10.5802/aif.3289. https://aif.centre-mersenne.org/articles/10.5802/aif.3289/

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