We compute the partition function on the hemisphere of a class of two-dimensional (2, 2)
supersymmetric field theories including gauged linear sigma models. The result provides a …

Spherical DG-functors Page 1 DOI 10.4171/JEMS/724 J. Eur. Math. Soc. 19, 2577–2656 c
European Mathematical Society 2017 Rina Anno · Timothy Logvinenko Spherical DG-functors …

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 …

We develop the theory of semi-orthogonal decompositions and spherical functors in the
framework of stable∞-categories. We study the relative Waldhausen S-construction S∙(F) of …

We introduce a new class of autoequivalences that act on the derived categories of certain
vector bundles over Grassmannians. These autoequivalences arise from Grassmannian …

There are multiple classes of triangulated categories arising from marked surfaces whose
spaces of stability conditions are described by moduli spaces of quadratic differentials on …

We study two functors between (partially) wrapped Fukaya categories. The first is the Orlov
functor from the Fukaya category of a stop to the Fukaya category of the ambient sector. We …

Euler's continuants are universal polynomials expressing the numerator and denominator of
a finite continued fraction whose entries are independent variables. We introduce their …

We describe in terms of spherical twists the Serre functors of many interesting
semiorthogonal components, called residual categories, of the derived categories of …

We compute I-functions and central charges for abelian GLSMs using virtual matrix
factorizations of Favero and Kim. In the Calabi-Yau case we provide analytic continuation for …