The paper contains general results on the uniqueness of a DG enhancement for triangulated
categories. As a consequence we obtain such uniqueness for the unbounded derived …

We prove that the functor of noncommutative deformations of every flipping or flopping
irreducible rational curve in a 3-fold is representable, and hence, we associate to every such …

For various 2-Calabi-Yau categories $\mathscr {C} $ for which the stack of objects
$\mathfrak {M} $ has a good moduli space $ p\colon\mathfrak {M}\rightarrow\mathcal {M} …

Three notions of dimension for triangulated categories - ScienceDirect Skip to main contentSkip
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For a locally presentable abelian category B with a projective generator, we construct the
projective derived and contraderived model structures on the category of complexes …

We study rational curves on smooth complex Calabi--Yau threefolds via noncommutative
algebra. By the general theory of derived noncommutative deformations due to Efimov …

In algebraic geometry, it is common to study a geometric object X (such as a scheme) by
means of the functor R↦ Hom (Spec R, X) represented by X. In this paper, we consider …

We introduce the notion of (homological) G‐smoothness for a complex G‐variety X, where G
is a connected affine algebraic group. This is based on the notion of smoothness for dg …

In this paper, we generalize a mathematical definition of Gopakumar-Vafa (GV) invariants on
Calabi-Yau 3-folds introduced by Maulik and the author, using an analogue of BPS sheaves …

La théorie des déformations se propose d'étudier les variations infinitésimales d'objets
d'origines géométrico-algébriques. Il est d'abord question de déterminer des espaces …