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The local categorical DT/PT correspondence.
- Source :
-
Advances in Mathematics . Apr2024, Vol. 442, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- In this paper, we prove the categorical wall-crossing formula for certain quivers containing the three loop quiver, which we call DT/PT quivers. These quivers appear as Ext-quivers for the wall-crossing of DT/PT moduli spaces on Calabi-Yau 3-folds. The resulting formula is a semiorthogonal decomposition which involves quasi-BPS categories studied in our previous papers, and we regard it as a categorical analogue of the numerical DT/PT correspondence. As an application, we prove a categorical DT/PT correspondence for sheaves supported on reduced plane curves in the affine three dimensional space. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MATRIX decomposition
*PLANE curves
Subjects
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 442
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 176150955
- Full Text :
- https://doi.org/10.1016/j.aim.2024.109590