A quantum splitting principle and an application
[Un principe de décomposition quantique et une application]
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.

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DOI : https://doi.org/10.5802/aif.3289
Classification : 14N35
Mots clés : théorie de Gromov–Witten, principe de décomposition, fibré projectif
@article{AIF_2019__69_5_2067_0,
     author = {Fan, Honglu},
     title = {A quantum splitting principle and an application},
     journal = {Annales de l'Institut Fourier},
     pages = {2067--2088},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {69},
     number = {5},
     year = {2019},
     doi = {10.5802/aif.3289},
     language = {en},
     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.3289/}
}
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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