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Abstract
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Let
be the quantum
cohomology (specialized at
)
of the
-dimensional
quadric
.
We will calculate the characteristic polynomial of the linear operators induced by quantum
multiplication in
and the Frobenius–Perron dimension. We also check that Galkin’s lower bound conjecture
holds for .
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Keywords
quantum cohomology, Frobenius–Perron dimension, odd
quadrics
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Mathematical Subject Classification
Primary: 14N35
Secondary: 15B48, 14N15, 14M15
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Milestones
Received: 2 June 2021
Revised: 10 February 2022
Accepted: 23 March 2022
Published: 14 April 2023
Communicated by Ravi Vakil
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© 2023 MSP (Mathematical Sciences
Publishers). |
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