Quantum cohomology of projective bundles
| Autor: | Iritani, Hiroshi, Koto, Yuki |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct an I-function of the projective bundle P(V) associated with a not necessarily split vector bundle V\to B as a Fourier transform of the S^1-equivariant J-function of the total space of V and show that it lies on the Givental Lagrangian cone of P(V). Using this result, we show that the quantum cohomology D-module of P(V) splits into the direct sum of the quantum cohomology D-modules of the base space B. This has applications to the semisimplicity of big quantum cohomology. Comment: 38 pages, 2 figures; v2: Figure 2 added, v3: Introducion improved |
| Databáze: | arXiv |
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