Kavli Affiliate: Yukinobu Toda | First 5 Authors: Tudor Pădurariu, Yukinobu Toda, , , | Summary: We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve classes on local surfaces into products of quasi-BPS categories and Pandharipande-Thomas (PT) categories, giving a categorical analogue of the numerical DT/PT correspondence for Calabi-Yau 3-folds. The main ingredient […]

Kavli Affiliate: Yukinobu Toda | First 5 Authors: Tudor Pădurariu, Yukinobu Toda, , , | Summary: 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 […]

Kavli Affiliate: Alexey Bondal | First 5 Authors: Alexey Bondal, Alexei Rosly, , , | Summary: We construct a twist-closed enhancement of the category ${mathcal D}^b_{rm coh}(X)$, the bounded derived category of complexes of ${mathcal O}_X$-modules with coherent cohomology, by means of the DG-category of $barpartial$-superconnections. Then we apply the techniques of $barpartial$-superconnections to define […]

Kavli Affiliate: Jia Liu | First 5 Authors: Xiao-Qing Liu, Jia Liu, Zheng-Yuan Xue, , | Summary: Quantum computation attaches importance to high-precision quantum manipulation, where the quantum state transfer with high fidelity is necessary. Here, we propose a new scheme to implement the quantum state transfer of high fidelity and long distance, by adding […]