On the Quantum Cohomology of Blow-ups of Four-dimensional Quadrics

We propose a conjecture relevant to Galkin’s lower bound conjecture, and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane. We also show that Conjecture O holds in these two cases.

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 40; no. 1; pp. 313 - 328
Main Authors Hu, Jian Xun, Ke, Hua Zhong, Li, Chang Zheng, Song, Lei
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 2024
Springer Nature B.V
Subjects
Homology
Lower bounds
Mathematical analysis
Mathematics
Mathematics and Statistics
quadric hypersurface
14J45
14J33
Quantum cohomology
14N35
blow-up
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Summary:We propose a conjecture relevant to Galkin’s lower bound conjecture, and verify it for the blow-ups of a four-dimensional quadric at a point or along a projective plane. We also show that Conjecture O holds in these two cases.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-024-2236-9