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20032026
most citedNew Aspects of Heterotic--F Theory Duality

182 citations · 759 across the 71 of their papers we have counts for

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72 papers

math.AG2026

Semiorthogonal decompositions for stacks

Chenjing Bu, Tudor Pădurariu, Yukinobu Toda

We give a systematic construction of semiorthogonal decompositions of derived categories of coherent sheaves on quasi-smooth derived algebraic stacks over , where the s…

math.AG2023

Quasi-BPS categories for K3 surfaces

Tudor Pădurariu, Yukinobu Toda

We introduce and begin the study of quasi-BPS categories for K3 surfaces, which are a categorical version of the BPS cohomologies for K3 surfaces. We construct semiorthogonal decom…

math.AG2022

The categorical DT/PT correspondence and quasi-BPS categories for local surfaces

Tudor Pădurariu, Yukinobu Toda

We construct semiorthogonal decompositions of Donaldson-Thomas (DT) categories for reduced curve classes on local surfaces into products of quasi-BPS categories and Pandharipande-T…

math.AG2022

The local categorical DT/PT correspondence

Tudor Pădurariu, Yukinobu Toda

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…

math.AG2022

Categorical and K-theoretic Donaldson-Thomas theory of (part II)

Tudor Pădurariu, Yukinobu Toda

Quasi-BPS categories appear as summands in semiorthogonal decompositions of DT categories for Hilbert schemes of points in the three dimensional affine space and in the categorical…

math.AG2022

Categorical and K-theoretic Donaldson-Thomas theory of (part I)

Tudor Pădurariu, Yukinobu Toda

We begin the study of categorifications of Donaldson-Thomas invariants associated with Hilbert schemes of points on the three-dimensional affine space, which we call DT categories.…