A quantum splitting principle and an application
Annales de l'Institut Fourier, Volume 69 (2019) no. 5, pp. 2067-2088.

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.

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.

Received:
Revised:
Accepted:
Published online:
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)
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Fan, Honglu. A quantum splitting principle and an application. Annales de l'Institut Fourier, Volume 69 (2019) no. 5, pp. 2067-2088. doi : 10.5802/aif.3289. http://archive.numdam.org/articles/10.5802/aif.3289/

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