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Research Article

Intersection Numbers on Fibrations and Catalan Numbers

Rimma Hämäläinena Institut für Mathematik, Technische Universität Berlin, Berlin, GermanyView further author information
,
Jason Lob Department of Mathematics, California State University, Northridge, NorthridgeCA, USACorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-3390-2396View further author information
ORCID Icon &
Edward Moralesb Department of Mathematics, California State University, Northridge, NorthridgeCA, USAView further author information
Published online: 19 Dec 2023
 
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Abstract

On an elliptic surface or threefold, Catalan numbers appear when one tries to compute the autoequivalence group action on the Bridgeland stability manifold. We explain why this happens by identifying a class of equations in the Chow ring of a fibration, where the solutions always involve Catalan numbers.

2020 MATHEMATICS SUBJECT CLASSIFICATION:

Additional information

Funding

The second and third authors were partially supported by NSF grant DMS-2100906.

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